Publications Search Results

Publications of the Nonlinear Research Group

1. Merrifield A, Myerscough MR, Weber NC. A model of spatial sorting in animal groups, with an application to honeybee swarm movement, (2004), preprint

2. Chaudhuri N, Cîrstea FC. On trichotomy of positive singular solutions associated with the Hardy-Sobolev operator, (2008), preprint

3. Kennedy JB. Some remarks on the isoperimetric problem for the higher eigenvalues of the Robin and Wentzell Laplacians, (2009), preprint

4. Cîrstea FC, Du Y. Isolated singularities for weighted quasilinear elliptic equations, (2009), preprint

5. Kennedy JB. An isoperimetric inequality for the second eigenvalue of the Laplacian with Robin boundary conditions, Proceedings of the American Mathematical Society, 137 (2009), no. 2, 627–633. MR2448584

6. Daners D. Inverse positivity for general Robin problems on Lipschitz domains, Archiv der Mathematik (Basel), 92 (2009), no. 1, 57–69. MR2471988

7. Dancer EN, Wei J. Spike solutions in coupled nonliner Schrodinger equations with attractive interaction, Transactions of the American mathematical society, 361 (2009), no. 3, 1189–1208. MR2457395

8. Chaudhuri N, Cîrstea FC. On trichotomy of positive singular solutions associated with the Hardy-Sobolev operator, Comptes Rendus Mathématique. Académie des Sciences. Paris, 347 (2009), no. 3-4, 153–158.

9. Dancer EN, Farina A. On the classification of solutions of -Δ u=e^u on R^N: stability outside a compact set and applications, Proceedings of the American Mathematical Society, 137 (2009), no. 4, 1333–1338. MR2465656

10. Dancer EN, Micheletti AM, Pistoia A. Multipeak solutions for some singularly perturbed nonlinear elliptic problems on Riemannian manifolds, Manuscripta Mathematica, 128 (2009), no. 2, 163–193. MR2471314

11. Dancer EN. Peak solutions without non-degeneracy conditions, Journal of differential equations, 246 (2009), no. 8, 3077.

12. Dancer EN, Hilhorst D, Yan S. Peak solutions for the Dirichlet problem of an elliptic system, Discrete Continuous Dynamical Systems, 24 (2009), no. 3, 731–761.

13. Dancer EN. Some remarks on half space problems, Discrete and Continuous Dynamical Systems, 25 (2009), no. 1, 83–88.

14. Daners D, Drábek P. A priori estimates for a class of quasi-linear elliptic equations, Transactions of the American Mathematical Society, 361 (2009), no. 12, 6475–6500.

15. Dancer EN. On the principal eigenvalue of linear cooperating elliptic systems with small diffusion, Journal of evolution equations, 9 (2009), no. 3, 419–428.

16. Easdown D, Ancev T, Bishop T, Mansfield S, Ougrinovskaia A, Saunders N, Warren D. Learning and teaching in summer: is it better and why?, Motivating Science Undergraduates: Ideas and Interventions, Motivating Science Undergraduates: Ideas and Interventions, Alexandra Hugman (ed.), UniServe Science Conference Proceedings, UniServe Science, The University of Sydney, (2009), 24–29. ISBN 978-1-74210-149-1

17. Bennett MR, Farnell L, Gibson WG. P2X_7 regenerative-loop potentiation of glutamate synaptic transmission by microglia and astrocytes, Journal of Theoretical Biology, 261 (2009), 1–16.

18. Bennett MR, Farnell L, Gibson WG. Origins of blood volume change due to glutamatergic synaptic activity at astrocytes abutting on arteriolar smooth muscle cells, Journal of Theoretical Biology, 250 (2008), 172–185.

19. Gibson WG, Farnell L, Bennett MR. A quantitative model of ATP-mediated calcium wave propagation in astrocyte networks, Mathematical Modeling of Biological Systems, Vol. 2, Modeling and Simulation in Science, Engineering and Technology, Birkhauser, Boston, (2008), 193–204. ISBN 978-0-8176-4555-7

20. Bennett MR, Buljan V, Farnell L, Gibson WG. Purinergic junctional transmission and propagation of calcium waves in cultured spinal cord microglial networks, Purinergic Signalling, 4 (2008), 47–59.

21. Arendt W, Daners D. The Dirichlet problem by variational methods, Bulletin of the London Mathematical Society, 40 (2008), no. 1, 51–56. MR2409177

22. Dancer EN. Finite Morse index solutions of exponential problems, Annales de l'institut H Poincaré Analyse Non Linéaire, 25 (2008), no. 1, 173. MR2383085

23. Bennett MR, Farnell L, Gibson WG. Origins of the BOLD changes due to synaptic activity at astrocytes abutting arteriolar smooth muscle, Journal of Theoretical Biology, 252 (2008), 123–130.

24. Arendt W, Daners D. Varying domains: stability of the Dirichlet and the Poisson problem, Discrete and Continuous Dynamical Systems - Series A, 21 (2008), no. 1, 21 – 39. MR2379455

25. Cameron DA, Ivers DJ, Evans TA, Myerscough MR. Optimal reproduction strategies in two species of mound-building termites, Bulletin of Mathematical Biology, 70 (2008), no. 1, 189–209. MR2365954

26. Cîrstea FC, Trombetti C. On the Monge-Ampere equation with boundary blow-up: existence, uniqueness and asymptotics, Calculus of Variations and Partial Differential Equations, 31 (2008), no. 2, 167–186. MR2353869

27. Dancer EN, Santra S. Existence and multiplicity of solutions for a weakly coupled radial system in a ball, Communications on Pure and Applied Analysis, 7 (2008), no. 4, 787–793. MR2393397

28. Daners D. Domain perturbation for linear and semi-linear boundary value problems, Stationary partial differential equations, Volume 6, Handbook of Differential Equations, Elsevier, Amsterdam, (2008), 1–81. ISBN 978-0-444-53241-1

29. Kennedy JB. A Faber-Krahn inequality for the Laplacian with Generalised Wentzell boundary conditions, Journal of Evolution Equations, 8 (2008), no. 3, 557–582. MR2438387

30. Dancer EN. Finite Morse index solutions of supercritical problems, Journal für die reine und angewandte Mathematik, 620 (2008), 213–233. MR2427982

31. Dancer EN. Moving plane methods for systems on half spaces, Mathematische Annalen, 342 (2008), 245–254. MR2425139

32. Dancer EN, Yan S. The Lazer-McKenna conjecture and a free boundary problem in two dimensions, Journal of the London Mathematical Society, 78 (2008), 639–662. MR2456896

33. Dancer EN, Yan S. On the Lazer-McKenna conjecture involving critical and supercritical exponents, Methods and Applications of Analysis, 15 (2008), no. 1, 097–120.

34. Bennett MR, Farnell L, Gibson WG. A quantitative model of cortical spreading depression due to purinergic and gap-junction transmission in astrocyte networks, Biohysical Journal, 95 (2008), 5648–5660.

35. Cîrstea FC, Dragomir SS. Representation of multivariate functions via the potential theory and applications to inequalities, Journal of Inequalities and Applications, 2008 (2008), 15 pages. MR2379515

36. Arendt W, Daners D. Uniform convergence for elliptic problems on varying domains, Mathematische Nachrichten, 280 (2007), no. 1-2, 28–49. MR2290380

37. Dancer EN, Yan S. A new type of concentration solutions for a singularly perturbed elliptic problem, Transactions of the American mathematical society, 359 (2007), no. 4, 1765–1790. MR2272148

38. Dancer EN. Conley indices on covex sets, attractor-repeller pairs and applications to multiple solutions of nonlinear elliptic equations, Journal of Fixed Point Theory and Applications, 1 (2007), 47–60. MR2282343

39. Bennett MR, Farnell L, Gibson WG, Dickens P. Mechanisms of calcium sequestration during facilitation at active zones of an amphibian neuromuscular junction, Journal of Theoretical Biology, 247 (2007), 230–241. MR2312128

40. Gibson WG, Farnell L, Bennett MR. A computational model relating changes in cerebral blood volume to synaptic activity in neurons, Neurocomputing, 70 (2007), 1674–1679.

41. Crooks ECM, Dancer EN, Hillhorst D. Fast reaction limit and long time behavior for a competition-diffusion system with Dirichlet boundary conditions, Discrete and Continuous Dynamical Systems Series B, 8 (2007), no. 1, 39–44.

42. Dancer EN, Ren X, Yan S. On multiple radial solutions of a singularly perturbed nonlinear elliptic system, SIAM Journal of Mathematical Analysis, 38 (2007), no. 6, 2005–2041. MR2299439

43. Dancer EN. Supercritical finite Morse index solutions, Nonlinear Analysis, 66 (2007), no. 1, 268–269. MR2271654

44. Britton S, Daners D, Stewart M. A self-assessment test for incoming students, International journal of mathematical education in science and technology, 38 (2007), no. 7, 861–868.

45. Dancer EN, Wei J. Sign-changing solutions for supercritical elliptic problems in domains with small holes, Manuscripta Mathematica, 123 (2007), no. 4, 493–454.

46. Dancer EN, Santra S. On the Superlinear Lazer-McKenna conjecture: the non-homogeneous case, Advances in differential equations, 12 (2007), no. 9, 961–993. MR2351835

47. Myerscough MR, Perdriau BS. Making good choices with variable information: a stochastic model for nest-site selection by honeybees., Biology Letters, 3 (2007), 140–143.

48. Daners D, Kennedy JB. Uniqueness in the Faber–Krahn inequality for Robin problems, SIAM Journal on Mathematical Analysis, 39 (2007), no. 4, 1191–1207. MR2368899

49. Dancer EN. Domain variation and non-uniqueness of homoclinic solutions of some partial differential equations on strips, Journal of Dynamics and Differential Equations, 19 (2007), no. 3, 709–718. MR2350244

50. Cîrstea FC, Du Y. Large solutions of elliptic equations with a weakly superlinear nonlinearity, Journal d'Analyse Mathématique, 103 (2007), no. 1, 261–277. MR2373270

51. Cîrstea FC. Elliptic equations with competing rapidly varying nonlinearities and boundary blow-up, Advances in Differential Equations, 12 (2007), no. 9, 995–1030. MR2351836

52. Cîrstea FC, Du Y. Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity, Journal of Functional Analysis, 250 (2007), 317–346. MR2352483

53. Cîrstea FC, Radulescu V. Boundary blow-up in nonlinear elliptic equations of Bieberbach-Rademacher type, Transactions of the American Mathematical Society, 359 (2007), no. 7, 3275–3286. MR2299455

54. Dancer EN, Yan S. Remarks on the existence of many solutions of certain nonlinear elliptic equations, Bolletino U.M.I., 8 (2007), no. 10 (B), 1013–1023.

55. Biegert M, Daners D. Local and global uniform convergence for elliptic problems on varying domains, Journal of Differential Equations, 223 (2006), no. 1, 1–32. MR2210137

56. Ackermann N. A nonlinear superposition principle and multibump solutions of periodic Schrödinger equations, Journal of Functional Analysis, 234 (2006), 277–320. MR2216902

57. Cosgrove CM. Higher-order Painlevé equations in the polynomial class II: Bureau symbol P1, Studies in Applied Mathematics, 116 (2006), 321–413. MR2220477

58. Daners D. A Faber-Krahn inequality for Robin problems in any space dimension, Mathematische Annalen, 335 (2006), no. 4, 767 – 785. MR2232016

59. Dancer EN, Yan S. Multipeak solutions for an elliptic system of Fitzhugh-Nagumo type, Mathematische Annalen, 335 (2006), no. 3, 527–569. MR2221124

60. Dancer EN, Yan S. Solutions with interior and boundary peaks for the Neumann problem of an elliptic system of FitzHugh-Nagumo type, Indiana University Mathematics Journal, 55 (2006), no. 1, 217–258. MR2207551

61. Dancer EN. Weak convergence, local bifurcations and uniqueness theorems, Rendiconti Lincei Matematica E Applicazioni, 17 (2006), 243–255. MR2254071

62. Dancer EN, Yan S. Interior peak solutions for an elliptic system of FitzHugh-Nagumo type, Journal of Differential Equations, 229 (2006), 654–679. MR2263570

63. Dancer EN. Stable and not too unstable solutions on Rⁿ for small diffusion, Fields Institute Communications, Nonlinear Dynamics and Evolution Equations, American Mathematical Society, Providence, Rhode Island, (2006), 67–93. ISBN 0-8218-3721-4

64. Dancer EN. On Stable and meta-stable solutions of the shadow system for the Geirer-Meinhardt equations, Advanced Nonlinear Studies, 6 (2006), 483–490. MR2245269

65. Bartsch T, Dancer EN, Peng S. On multi-bump semi-classical bound states of nonlinear Schrodinger equations with electromagnetic fields, Advances in Differential Equations, 11 (2006), no. 7, 781–812. 2236582

66. Merrifield A, Myerscough MR, Weber NC. Statistical tests for analysing directed movement of self-organising animal groups, Mathematical Biosciences, 203 (2006), no. 1, 64–78. MR2268161

67. Dancer EN, Du Y. A uniqueness theorem for a free boundary problem, Proceedings of the American Mathematical Society, 134 (2006), no. 11, 3223–3230. MR2231905

68. Bennett MR, Buljan V, Farnell L, Gibson WG. Purinergic junctional transmission and propagation of calcium waves in spinal cord astrocyte networks, Biophysical Journal, 91 (2006), 3560–3571.

69. Cosgrove CM. Chazy's second-degree Painlevé equations, Journal of Physics. A. Mathematical and General, 39 (2006), no. 39, 11955–11971. MR2266209

70. Graham S, Myerscough MR, Jones JC, Oldroyd BP. Modelling the role of intracolonial genetic diversity on regulation of brood temperature in honey bee (Apis mellifera L.) colonies, Insectes Sociaux, 53 (2006), 226–232.

71. Dancer EN, Shi J. Uniqueness and nonexistence of positive solutions to semipositone problems, The Bulletin of the London Mathematical Society, 38 (2006), 1033–1044. MR2285257

72. Cîrstea FC, Radulescu V. Nonlinear problems with boundary blow-up: a Karamata regular variation theory approach, Asymptotic Analysis, 46 (2006), 275–298. MR2215886

73. Daners D. Perturbation of semi-linear evolution equations under weak assumptions at initial time, Journal of Differential Equations, 210 (2005), 352–382. MR2119988

74. Bennett MR, Farnell L, Gibson WG. A quantitative description of the contraction of blood vessels following the release of noradrenaline from sympathetic varicosities, Journal of Theoretical Biology, 234 (2005), 107–122. MR2140464

75. Lemon G, Brockhausen J, Li Y, Gibson WG, Bennett MR. Calcium mobilization and spontaneous transient outward current characteristics upon agonist activation of P2Y2 receptors in smooth muscle cells, Biophysical Journal, 88 (2005), 1507–1523.

76. Dancer EN, Yan S. On the superlinear Lazer-McKenna conjecture, Journal of Differential Equations, 210 (2005), 317–351. MR2119987

77. Dancer EN. Some examples on solution structures for weakly nonlinear elliptic equations, Discrete and Continuous Dynamical Systems, 12 (2005), no. 5, 817–826. MR2128728

78. Dancer EN. Remarks on nonlinear elliptic problems on long domains, Advanced Nonlinear Studies, 5 (2005), no. 2, 253–263. MR2126738

79. Dancer EN. Stable and finite Morse index solutions on Rⁿ or on bounded domains with small diffusion, Transactions of the American Mathematical Society, 357 (2005), no. 3, 1225–1243. MR2110438

80. Dancer EN, Yan S. Multipeak solutions for the Neumann problem of an elliptic system of FitzHugh-Nagumo type, Proceedings of the London Mathematical Society, 90 (2005), no. 1, 209–244. MR2107042

81. Farnell L, Gibson WG. Monte Carlo simulation of diffusion in a spatially nonhomogeneous medium: A biased random walk on an asymmetrical lattice, Journal of Computational Physics, 208 (2005), 253–265.

82. Bennett MR, Farnell L, Gibson WG. A quantitative model of purinergic junctional transmission of calcium waves in astrocyte networks, Biophysical Journal, 89 (2005), 2235–2250.

83. Dancer EN, Geba K, Rybicki SM. Classification of homotopy classes of equivariant gradient maps, Fundamenta Mathematicae, 185 (2005), no. 1, 1–18. MR2161749

84. Scoufis G, Cosgrove CM. An application of the inverse scattering transform to the modified intermediate long wave equation, Journal of Mathematical Physics, 46 (2005), no. 10, 39 pp.

85. Dancer EN, Yan S. On the Superlinear Lazer-McKenna conjecture: Part II, Communications in Partial Differential Equations, 30 (2005), 1331–1358. MR2180307

86. Yu R. Fixed point index calculations on cones, Bulletin of the Australian Mathematical Society, 71 (2005), no. 2, 347–349.

87. Thompson RS, Macaskill C, Farnell L. Exact and weak scattering models for the complex acoustic field near to cylindrical walls and boundaries in tissue, Proceedings 2005 IEEE International Ultrasonics Conference, 2005 IEEE International Ultrasonics Conference, Susan Yuhas (ed.), IEEE, New York, (2005), 528–531. ISBN 0-7803-9382-1/1051-0117

88. Cîrstea FC, Du Y. General uniqueness results and variation speed for blow-up solutions of elliptic equations, Proceedings of the London Mathematical Society, 91 (2005), no. 2, 459–482. MR2167094

89. Cîrstea FC, Ghergu M, Radulescu V. Combined effects of asymptotically linear and singular nonlinearities in bifurcation problems of Lane-Emden-Fowler type, Journal de Mathématiques Pures et Appliquées, 84 (2005), no. 4, 493–508. MR2133126

90. Bennett MR, Farnell L, Gibson WG, Blair DH. A quantitative description of the diffusion of noradrenaline in the media of blood vessels following its release from sympathetic varicosities, Journal of Theoretical Biology, 226 (2004), 359–372. MR2068827

91. Bennett MR, Farnell L, Gibson WG. The facilitated probability of quantal secretion within an array of calcium channels of an active zone at the amphibian neuromuscular junction, Biophysical Journal, 86 (2004), 2674–2690.

92. Dancer EN, Yan S. Construction of various types of solutions for an elliptic problem, Calculus of Variations and Partial Differential Equations, 20 (2004), 93–118. MR2047147

93. Dancer EN, Yan S. A minimization problem associated with elliptic systems of FitzHugh-Nagumo type, Annales de l'Institut Henri Poincaré, Analyse Non Linéaire, 21 (2004), 237–253. MR2047356

94. Dancer EN. Stable and finite Morse index solutions on Rⁿ or on bounded domains with small diffusion II, Indiana University Mathematics Journal, 53 (2004), 97–108. MR2048185

95. Farnell L, Gibson WG. Monte Carlo simulation of diffusion in a spatially nonhomogeneous medium: correction to the Gaussian steplength, Journal of Computational Physics, 198 (2004), 65–79. MR2071389

96. Merrifield A, Savage MK, Vere-Jones D. Geographical distributions of prospective foreshock probabilities in New Zealand, New Zealand Journal of Geology and Geophysics, 47 (2004), 327–339.

97. Thompson RS, Macaskill C, Fraser WB, Farnell L. Acoustic intensity for a long vessel with non-circular cross-section, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 51 (2004), 566–575.

98. Crooks ECM, Dancer EN, Hillhorst D, Mimura M, Ninomiya H. Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions, Nonlinear Analysis Real World Applications, 5 (2004), 645–665. MR2079274

99. Dancer EN. Stable solutions on Rⁿ and the primary branch of some non-self-adjoint convex problems, Differential and Integral Equations, 17 (2004), 961–970. MR2082455

100. Vincent AD, Myerscough MR. The effect of a non-uniform turning kernel on ant trail morphology, Journal of Mathematical Biology, 49 (2004), 391–432. MR2105837

101. Jones JC, Myerscough MR, Graham S, Oldroyd BP. Honey bee nest thermoregulation: diversity promotes stability, Science, 305 (2004), 402–404.

102. Myerscough MR, Oldroyd BP. Simulation models of the role of genetic variability in social insect task allocation, Insectes Sociaux, 51 (2004), 146–152.

103. O'Brian S, Packman A, Onslow M, O'Brian NR. Measurement of stuttering in adults: Comparison of stuttering rate and severity scaling methods, Journal of Speech, Language, and Hearing Research, 47 (2004), 1081–1087.

104. Dancer EN. On connecting orbits for competing species equations with large interactions, Topological Methods in Nonlinear Analysis, 24 (2004), 1–19. MR2111979

105. Edelman D, O'Brian NR. Tote arbitrage and lock opportunities in racetrack betting, European Journal of Finance, 10 (2004), no. 5, 370–378.

106. Cîrstea FC. An extreme variation phenomenon for some nonlinear elliptic problems with boundary blow-up, Comptes Rendus Mathématique. Académie des Sciences. Paris, 339 (2004), no. 10, 689–694. MR2110937

107. Cîrstea FC, Radulescu V. Extremal singular solutions for degenerate logistic-type equations in anisotropic media, Comptes Rendus Mathématique. Académie des Sciences. Paris, 339 (2004), no. 2, 119–124. MR2078301

108. Cîrstea FC, Niculescu CP. Existence and non-existence results for some degenerate quasilinear problems with indefinite non-linearities, Differential equations and applications, Differential Equations and Applications, Nova Sci. Publ., Hauppauge, NY, (2004), 63–80. ISBN 1-59033-859-6

109. Daners D. Dirichlet problems on varying domains, Journal of Differential Equations, 188 (2003), 591–624. 2004a:35042

110. Lemon G, Gibson WG, Bennett MR. A model of inositol 1,4,5-trisphosphate and calcium dynamics in single cells following metabotropic receptor activation, Neurocomputing, 52 (2003), 271–276.

111. Lemon G, Gibson WG, Bennett MR. Metabotropic receptor activation, desensitization and sequestration - II: modelling the dynamics of the pleckstrin homology domain, Journal of Theoretical Biology, 223 (2003), 113–129. MR2069242

112. Lemon G, Gibson WG, Bennett MR. Metabotropic receptor activation, desensitization and sequestration - I: modelling calcium and inositol 1,4,5-trisphosphate dynamics following receptor activation, Journal of Theoretical Biology, 223 (2003), 93–111. MR2069241

113. Dancer EN. Some near critical problems, Advances in Differential Equations, 5 (2003), 571–594. 2004e:35062

114. Dancer EN, Du Y. On a free boundary problem arising from population biology, Indiana University Mathematics Journal, 52 (2003), 51–67. 2004c:35423

115. O'Toole DV, Robinson PA, Myerscough MR. Self-organized criticality in ant brood tending, Journal of Theoretical Biology, 221 (2003), 1–14.

116. O'Toole DV, Robinson PA, Myerscough MR. Self-organized criticality and emergent oscillations in models of termite architecture with crowding, Journal of Theoretical Biology, 221 (2003), 15–27.

117. O'Brian S, Packman A, Onslow M, Cream A, O'Brian NR, Bastock K. Is Listener Comfort a viable construct in stuttering research?, Journal of Speech, Language, and Hearing Research, 46 (2003), 503–509.

118. O'Brian NR, O'Brian S, Packman A, Onslow M. Generalizability Theory I: Observational data in the communication sciences, Journal of Speech, Language, and Hearing Research, 46 (2003), 711–717.

119. O'Brian S, O'Brian NR, Packman A, Onslow M. Generalizability theory II: Application to perceptual scaling of speech naturalness in adults who stutter, Journal of Speech, Language, and Hearing Research, 46 (2003), 718–723.

120. Monro GP. Review: ACMA Conference Perth, July 2003, Chroma (Newsletter of the Australian Computer Music Association), 34 (2003), 11–17.

121. Monro GP. Review: Acoustic Ecology Symposium, Soundscape: The Journal of Acoustic Ecology, 4 (2003), 39–41.

122. Dancer EN, Yan S. Multi-layer solutions for an elliptic problem, Journal of Differential Equations, 194 (2003), 382–405. MR2006218

123. Dancer EN. Some mountain-pass solutions for small diffusion, Differential and Integral Equations, 16 (2003), 1013–1024. 2004e:35063

124. Dancer EN, Bu Y, Ma L. Asymptotic behavior of positive solutions of some elliptic problems, Pacific Journal of Mathematics, 210 (2003), 215–228. MR1988532

125. Dancer EN, Du Y. Some remarks on Liouville type resutlts for quasilinear elliptic equations, Proceedings of the American Mathematical Society, 131 (2003), 1891–1899. 2004e:35064

126. Myerscough MR. Dancing for a decision: a matrix model for nest-site choice by honeybees, Proceedings of the Royal Society. London. Series B, 270 (2003), 577–582.

127. Cox MD, Myerscough MR. A flexible model of foraging by a honey bee colony: the effects of individual behaviour on foraging success, Journal of Theoretical Biology, 223 (2003), 179–197. MR2068413

128. Beekman M, Oldroyd BP, Myerscough MR. Sticking to their choice–honey bee subfamilies abandon declining food sources at a slow but uniform rate, Ecological Entomology, 28 (2003), 233–238.

129. Dancer EN. Real analyticity and non-degeneracy, Mathematische Annalen, 325 (2003), 369–392. MR1962054

130. Dancer EN, Yan S. Peak Solutions for an Elliptic System of FitzHugh-Nagumo Type, Annali della Scuola Normale Superiore di Pisa, II (2003), 679–709. MR2040640

131. Cîrstea FC, Radulescu V. Asymptotics for the blow-up boundary solution of the logistic equation with absorption, Comptes Rendus Mathématique. Académie des Sciences. Paris, 336 (2003), no. 3, 231–236. MR1968264

132. Cîrstea FC, Radulescu VD. Solutions with bundary blow-up for a class of nonlinear elliptic problems, Houston Journal of Mathematics, 29 (2003), no. 3, 821–829. MR1998166

133. Barnett NS, Cîrstea FC, Dragomir SS. Some inequalities for the integral mena of Hölder continuous functions defined on disks in a plane, Inequality Theory and Applications, Inequality Theory and Applications, Nova Sci. Publ., Hauppauge, NY, (2003), 7 – 18. ISBN 1-59033-866-9

134. Kearns JL, Farnell L, Gibson WG, Lin YQ, Bennett MR. Quantal current fields around individual boutons in sympathetic ganglia, Journal of Theoretical Biology, 214 (2002), 135–146.

135. Bennett MR, Gibson WG, Lemon G. Neuronal cell death, nerve growth factor and neurotrophic models: 50 years on, Autonomic Neuroscience, 95 (2002), 1–23.

136. Woodbury GA, van der Zwan R, Gibson WG. Correlation model for joint development of refined retinotopic map and ocular dominance columns, Vision Research, 42 (2002), 2295–2310.

137. Daners D. A priori estimates for solutions to elliptic equations on non-smooth domains, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 132 (2002), 793–813. 2003g:35017

138. Henery R, Farnell L, Gibson WG, Bennett MR. Potential fields in vascular smooth muscle generated by transmitter release from sympathetic varicosities, Journal of Theoretical Biology, 218 (2002), 531–548. MR2027548

139. Dancer EN, Yan S. On the profile of the changing sign mountain pass solutions for an elliptic problem, Transactions of the American Mathematical Society, 354 (2002), no. 9, 3573–3600. 2003d:35082

140. Campos J, Dancer EN, Ortega R. Dynamics in the neighbourhood of a continuum of fixed points, Annali di Matematica, 180 (2002), 483–492. 2003a:37050

141. Dancer EN. Uniqueness and generic non-degeneracy on Strips, Advanced Nonlinear Studies, 2 (2002), 133–145. 2003f:35098

142. Dancer EN. Bifurcation from simple Eigenvalues and Eigenvalues of geometric multiplicity one, The Bulletin of the London Mathematical Society, 34 (2002), 533–538. 2003f:58026

143. Dancer EN. Some results for jumping nonlinearities, Topological Methods in Nonlinear Analysis, 19 (2002), 221–235. 2003f:35099

144. Dancer EN, Zhang Z. Dynamics of Lotka-Volterra competition systems with large interaction, Journal of Differential Equations, 182 (2002), 470–489. 2003c:35064

145. Dancer EN, Yan S. Multibump solutions for an elliptic problem in expanding domains, Communications in Partial Differential Equations, 27 (2002), 23–55. 2002m:35067

146. Witte NS, Forrester PJ, Cosgrove CM. Integrability, random matrices and Painlevé transcendents, The ANZIAM Journal, 44 (2002), 41–50. 2003i:82040

147. Dancer EN, Du Y. Effects of certain degeneracies in the predator-prey model, SIAM Journal on Mathematical Analysis, 34 (2002), 292–314. 2004a:35064

148. Thompson RS, Macaskill C, Farnell L, Fraser WB. Ultrasound Intensity Calculations for a Vessel with Simulated Wall Lesion, 2002 IEEE International Ultrasonics Symposium Proceedings, 2002 IEEE International Ultrasonics Symposium, S C Schneider, D E Yuhas (eds.), The Institute of Electrical and Electronics Engineers, Inc., Piscataway, NJ, USA, (2002), 1755–1758. ISBN 0-7803-7583-1

149. Clarkson PA, Cosgrove CM. Symmetry, the Chazy equation and Chazy hierarchies, Isomonodromic Deformations and Applications in Physics, CRM Proceedings and Lecture Notes, American Mathematical Society, Providence, Rhode Island, USA, (2002), 113–129. ISBN 0-8218-2804-5 2003a:34010

150. Dancer EN, Huang Q. Spatial independence of invariant sets of parabolic systems, Journal of Dynamics and Differential Equations, 14 (2002), 405–441. 2003h:35099

151. Monro GP. Review: Real, Electronic, Virtual, Chroma (Newsletter of the Australian Computer Music Association), 32 (2002), 3–8.

152. Cîrstea FC, Radulescu V. Entire solutions blowing up at infinity for semilinear elliptic systems, Journal de Mathématiques Pures et Appliquées, 81 (2002), no. 9, 827–846. MR1940369

153. Cîrstea FC, Radulescu V. Uniqueness of the blow-up boundary solution of logistic equations with absorption, Comptes Rendus Mathématique. Académie des Sciences. Paris, 335 (2002), no. 5, 447–452. MR1937111

154. Cîrstea FC, Radulescu V. Blow-up boundary solutions of semilinear elliptic problems, Nonlinear Analysis. Theory, Methods and Applications, 48 (2002), no. 4, 521–534. MR1871465

155. Cîrstea FC, Radulescu VD. Existence and uniqueness of blow-up solutions for a class of logistic equations, Communications in Contemporary Mathematics, 4 (2002), no. 3, 559–586. 2003f:35120

156. Cîrstea FC. On the uniqueness of solutions with boundary blow-up for a class of logistic equations, Proceedings of the Fourth International Conference on Modelling and Simulation, Fourth International Conference on Modelling and Simulation, Aladin Zayegh (ed.), Modelling and Simulation, Victoria University, Melbourne, (2002), 364 – 368. ISBN 1 86272 617 5

157. Bennett MR, Farnell L, Gibson WG, Lin YQ, Blair DH. Quantal and non-quantal current and potential fields around individual sympathetic varicosities on release of ATP, Biophysical Journal, 80 (2001), 1311–1328.

158. Monro GP. Some sound modifications using wavelets, Mikropolyphonie, 5 (2001), (online journal).

159. Gibson WG, Farnell L, Bennett MR. A Monte Carlo analysis of calcium dynamics and facilitation in nerve terminals, Neurocomputing, 38 (2001), 17–22.

160. Monro GP. Waveform 2001 - a digital music conference, Waveform 2001, Australasian Computer Music Association Conference, Proceedings, Waveform 2001, Australasian Computer Music Association Conference, Monro GP (ed.), School of Contemporary Arts, University of Western Sydney, University of Western Sydney, Nepean, (2001), 112.

161. Monro GP. Computer Music in New South Wales, Organised Sound, 6 (2001), 55–61.

162. Monro GP. Review: Second Iterations, Chroma (Newsletter of the Australian Computer Music Association), 31 (2001), 7–10.

163. Aftalion A, Dancer EN. On the symmetry and uniqueness of solutions of the Ginzburg-Landau equations for small domains, Communications in Contemporary Mathematics, 3 (2001), 1–14. 2002a:35008

164. Dancer EN, Perera K. Some remarks on the Fucik-spectrum of the p-Laplacian and critical groups, Journal of Mathematical Analysis and Applications, 254 (2001), 164–177. 2001k:35238

165. Dancer EN, Kee L, Yan S. The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrodinger equations, Abstract Applied Annales, 6 (2001), 71–99. 2003b:35074

166. Campos J, Dancer EN. On the resonance set in a fourth-order equation with jumping nonlinearity, Differential and Integral Equations, 14 (2001), 257–272. 2001j:34021

167. Little G, Farnell L. Assessing the use of English in primary and secondary schools, The Education Network, 18 (2001), 9–56.

168. Dancer EN. New solutions of equations on Rⁿ, Annali della Scuola Normale Superiore di Pisa, 30 (2001), 535–563. 2003g:35057

169. Dancer EN. On stability and Hopf bifurcations for chemotaxis systems, Methods and Applications of Analysis, 8 (2001), no. 2, 245 – 256. 2003k:35117

170. Cîrstea FC, Radulescu V. On a double bifurcation quasilinear problem arising in the study of anisotropic continuous media, Proceedings of the Edinburgh Mathematical Society, 44 (2001), no. 3, 527–548. MR1875767

171. Cîrstea FC, Radulescu V. On a class of quasilinear eigenvalue problems on unbounded domains, Archiv der Mathematik (Basel), 77 (2001), no. 4, 337–346. MR1853550

172. Cîrstea FC, Montreanu D, Radulescu V. Weak solutions of quasilinear problems with nonlinear boundary condition, Nonlinear Analysis. Theory, Methods and Applications, 43 (2001), no. 5, 623–636. MR1804861

173. Cosgrove CM. Higher-order Painlevé equations in the polynomial class I. Bureau symbol P2, Studies in Applied Mathematics, 104 (2000), 1–65. 2000m:34204

174. Cosgrove CM. Chazy classes IX–XI of third-order differential equations, Studies in Applied Mathematics, 104 (2000), 171–228. 2001d:34148

175. Bennett MR, Farnell L, Gibson WG, Macleod GT, Dickens P. Quantal potential fields around individual active zones of amphibian motor-nerve terminals, Biophysical Journal, 78 (2000), 1106–1118.

176. Bennett MR, Farnell L, Gibson WG. The probability of quantal secretion near a single calcium channel of an active zone, Biophysical Journal, 78 (2000), 2201–2221.

177. Bennett MR, Farnell L, Gibson WG. The probability of quantal secretion within an array of calcium channels of an active zone, Biophysical Journal, 78 (2000), 2222–2240.

178. Gibson WG. Small worlds, The Physicist, 37 (2000), 73. MR1653249

179. Daners D. Robin boundary value problems on arbitrary domains, Transactions of the American Mathematical Society, 352 (2000), 4207–4236. 2000m:35048

180. Witte NS, Forrester PJ, Cosgrove CM. Gap probabilities for edge intervals in finite Gaussian and Jacobi unitary matrix ensembles, Nonlinearity, 13 (2000), 1439–1464. 2001m:82038

181. Monro GP. Mathematics service teaching in 2010, Australian Mathematical Society Gazette, 27 (2000), 46–48.

182. Monro GP. An acousmatic experience, Chroma (Newsletter of the Australian Computer Music Association), 26-27 (2000), 3–6.

183. Daners D. Heat kernel estimates for operators with boundary conditions, Mathematische Nachrichten, 217 (2000), 13–41. 2002f:35109

184. Monro GP. In-phase corrections for Ambisonics, Proceedings of the International Computer Music Conference, Berlin, 27 Aug - 1 Sept 2000, International Computer Music Conference, Ioannis Zannos (ed.), International Computer Music Association, San Francisco and the Berliner Kulturveranstaltungs GmbH, Berlin, (2000), 292–295. ISBN 0-9667927-2-6

185. Daners D. Existence and perturbation of principal eigenvalues for a periodic-parabolic problem, Electronic Journal of Differential Equations, Nonlinear Differential Equations, Stephen Cantrell and Chris Cosner (eds.), Conference 05, Southwest Texas State University and University of North Texas, Texas, (2000), 51–67. 2001j:35125

186. Monro GP. Some experiences with algorithms in musical composition, Proceedings of the Mathematics and Art Conference, Bond University, Dec. 2000, Mathematics and Art, N. de Mestre (ed.), Bond University, Gold Coast, Australia, (2000), 11–19.

187. Dancer EN. A note on asymptotic uniqueness for some nonlinearities which change sign, Bulletin of the Australian Mathematical Society, 61 (2000), 305–312. 2001f:35122

188. Dancer EN, Hastings SP. On the global bifurcation diagram for the one-dimension Ginzburg-Landau model of superconductivity, European Journal of Applied Mathematics, 11 (2000), 271–291. 2002e:82071

189. Dancer EN. Infinitely many turning points for some supercritical problems, Annali Matematica Pura ed Applicata. Serie Quarta, CLXXVIII (2000), 225–233. 2002g:35077

190. Dancer EN, Lopez-Gomez J. Semiclassical analysis of general second order elliptic operators on bounded domains, Transactions of the American Mathematical Society, 352 (2000), 3723–3742. 2000m:35136

191. Buffoni B, Dancer EN, Toland JF. The sub-harmonic bifurcation of Stokes waves, Archive for Rational Mechanics and Analysis, 152 (2000), 241–271. 2002e:76010b

192. Buffoni B, Dancer EN, Toland JF. The regularity and local bifurcation of steady periodic water waves, Archive for Rational Mechanics and Analysis, 152 (2000), 207–240. 2002e:76010a

193. Dancer EN, Yan S. On the existence of multipeak solutions for nonlinear field equations on R^N, Discrete and Continuous Dynamical Systems, 6 (2000), 39–50. 2000k:35081

194. Dancer EN, Zhang K. Uniqueness of solutions for some elliptic equations and systems in nearly star-shaped domains, Nonlinear Analysis. Theory, Methods and Applications, 41 (2000), 745–761. 2001g:35069

195. Dancer EN, Zhang Z. Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary value problems with resonance at infinity, Journal of Mathematical Analysis and Applications, 250 (2000), 449–464. 2001m:47135

196. Dancer EN, Yan S. Singularly perturbed elliptic problems in exterior domains, Differential and Integral Equations, 13 (2000), 747–777. 2001c:35022

197. Dancer EN. Degree theory on convex sets and applications to bifurcation, Calculus of variations and partial differential equations, Topics on geometrical evolution problems and degree theory, Springer, Berlin, Heidelberg, (2000), 185–241. ISBN 3-540-64803-8 2002d:49002

198. Cîrstea FC, Radulescu V. Multiplicity of solutions for a class of nonsymmetric eigenvalue hemivariational inequalities, Journal of Global Optimization, 17 (2000), 43–54. MR1807966

199. Cîrstea FC, Radulescu V. Existence and non-existence results for a quasilinear problem with nonlinear boundary condition, Journal of Mathematical Analysis and Applications, 244 (2000), no. 1, 169–183. MR1746795

200. Bennett MR, Farnell L, Gibson WG. Cable analysis of a motor-nerve terminal branch in a volume conductor, Bulletin of Mathematical Biology, 61 (1999), 1–17.

201. Monro GP. Report on the 1999 ANAT Summer School, Chroma (Newsletter of the Australian Computer Music Association), 24 (1999), 2–3.

202. Macleod GT, Farnell L, Gibson WG, Bennett MR. Quantal secretion and nerve-terminal cable properties at neuromuscular junctions in an amphibian (bufo marinus), Journal of Neurophysiology, 81 (1999), 1135–1146.

203. Bates PW, Dancer EN, Shi J. Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability, Advances in Differential Equations, 4 (1999), no. 1, 1–69. 99k:35097

204. Dancer EN, Hilhorst D, Mimura M, Peletier LA. Spatial segregation limit of a competition-diffusion system, European Journal of Applied Mathematics, 10 (1999), 97–115. 2001a:92030

205. Dancer EN, Wei J. On the location of spikes of solutions with two sharp layers for a singularly perturbed semilinear Dirichlet problem, Journal of Differential Equations, 157 (1999), 82–101. 2000j:35017

206. Dancer EN, Yan S. Multipeak solutions for a singularly perturbed Neumann problem, Pacific Journal of Mathematics, 189 (1999), no. 2, 241–261. 2000d:35010

207. Dancer EN, Yan S. A singularly perturbed elliptic problem in bounded domains with nontrivial topology, Advances in Differential Equations, 4 (1999), no. 3, 347–368. 2000d:35009

208. Dancer EN, Rybicki S. A note on periodic solutions of autonomous Hamiltonian systems emanating from degenerate stationary solutions, Differential and Integral Equations, 12 (1999), no. 2, 147–160. 2000b:37065

209. Dancer EN, Polačik P. Realization of vector fields and dynamics of spatially homogeneous parabolic equations, Memoirs of the American Mathematical Society, 140 (1999), no. 668, 82pp. 99m:35125

210. O'Toole DV, Robinson PA, Myerscough MR. Self-organized criticality in termite architecture: a role for crowding in ensuring ordered nest expansion, Journal of Theoretical Biology, 198 (1999), 305–327.

211. Dancer EN. Some slightly subcritical of slightly supercritical problems, Proceedings of the Centre for Mathematics and its Applications, Joint Australian-Taiwanese Workshop on Analysis and Applications, CMA Proceedings, (1999), 1–5. ISBN 0 7315 5201 6

212. Dancer EN. Remarks on jumping nonlinearities, Progress in Nonlinear Differential Equations, Topics in Nonlinear Analysis, Birkhauser, Basel, Switzerland, (1999), 101–115. ISBN 3-7643-6016-X 2000j:35061

213. Dancer EN, Yan S. Effect of the domain geometry on the existence of multipeak solutions for an elliptic problem, Topological Methods in Nonlinear Analysis, 14 (1999), 1–38. 2001b:35106

214. Dancer EN, Yan S. Interior and boundary peak solutions for a mixed boundary value problem, Indiana University Mathematics Journal, 48 (1999), 1177–1212. 2001f:35146

215. Daners D. Local singular variation of domain for semilinear elliptic equations, Topics in Nonlinear Analysis, Progress in Nonlinear Differential Equations and Their Applications 35, Birkhäuser, Basel, (1999), 117–141. ISBN 3-7643-6016-X 2000j:35094

216. Cîrstea FC, Radulescu V. Existence and uniqueness of positive solutions to a semilinear elliptic problem in R^N, Journal of Mathematical Analysis and Applications, 229 (1999), no. 2, 417–425. MR1666416

217. Bennett MR, Farnell L, Gibson WG. On the origin of skewed distributions of spontaneous synaptic potentials in autonomic ganglia, Royal Society of London. Proceedings. Series B, 265 (1998), 271–277.

218. Macleod GT, Khurana V, Gibson WG, Bennett MR. Probability of quantal secretion and the mobilization of vesicles at the active zones of endplates, Journal of Theoretical Biology, 191 (1998), 323–334.

219. Meffin H, Gibson WG. Multistable behaviour in networks of integrate-and-fire neurons, 1997 International Conference on Neural Information Processing and Intelligent, 1997 International Conference on Neural Information Processing and Intelligent Information Systems, N Kasabov, R Kozma, K Ko, R O'Shea, G Coghill, T Gedeon (eds.), Progress in Connectionist-Based Information Series, Springer, (1998), 198–201.

220. Buffoni B, Dancer EN, Toland JF. Sur les ondes de Stokes et une conjecture de Levi-Civita, Comptes Rendus de l'Académie des Sciences. Série I. Mathématique, 326 (1998), 1265–1268. 99g:76014

221. Dancer EN. Some remarks on a boundedness assumption for monotone dynamical systems, Proceedings of the American Mathematical Society, 126 (1998), no. 3, 801–807. 98e:47085

222. Monro GP, Pressing J. Sound visualization using embedding: the art and science of auditory autocorrelation, Computer Music Journal, 22 (1998), 20–30.

223. Coop AD, Gibson WG, Bennett MR. Spontaneous calcium transients in autonomic boutons and varicosities, Journal of Theoretical Biology, 195 (1998), 395–411.

224. Dancer EN. Superlinear problems on domains with holes of asymptotic shape and exterior problems, Mathematische Zeitschrift, 229 (1998), 475–492. 2000c:35058

225. Dancer EN. Remarks on the pure critical exponent problem, Bulletin of the Australian Mathematical Society, 58 (1998), 338–344.

226. Gibson WG, Bennett MR, Robinson J. Modelling the evoked release of quanta at active zones: theoretical investigation of the secretosome hypothesis, Computational Neuroscience: Trends in Research, 1998, Sixth Annual Computational Neuroscience Conference, James M. Bower (ed.), Plenum Press, New York, (1998), 173–178. ISBN 0-306-45919-1

227. Gibson WG. Matter matters, Australian and New Zealand Physicist, 35 (1998), 266.

228. Dancer EN, Wei J. On the effect of domain topology in a singular perturbation problem, Topological Methods in Nonlinear Analysis, 11 (1998), 227–248. 2000a:35012

229. Myerscough MR, Maini PK, Painter KJ. Pattern formation in a generalised chemotactic model, Bulletin of Mathematical Biology, 60 (1998), 1–26.

230. Daners D, Merino S. Gradient-like parabolic semiflows on BUC(R^N), Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 128 (1998), 1281–1291. 2000a:35120

231. Bennett MR, Farnell L, Gibson WG, Lavidis NA. Synaptic transmission at visualized sympathetic boutons: stochastic interaction between acetylcholine and its receptors, Biophysical Journal, 72 (1997), 1595–1606.

232. Meffin H, Gibson WG. Threshold setting and mean firing rates in networks of spiking integrate-and-fire neurons, Proceedings of the Eighth Australian Conference on Neural Networks (ACNN'97), The Eighth Australian Conference on Neural Networks (ACNN'97), Michael Dale (ed.), Australian Conference on Neural Networks, Telstra Research Laboratories, Melbourne, Australia, (1997), 45–49. ISBN 0 642 27163 1

233. Cosgrove CM. Painlevé classification problems featuring essential singularities, Studies in Applied Mathematics, 98 (1997), 355–433. 98b:34011

234. Daners D. Periodic-parabolic eigenvalue problems with indefinite weight functions, Archiv der Mathematik (Basel), 68 (1997), 388–397. MR1441637

235. Dancer EN, Daners D. Domain perturbation for elliptic equations subject to Robin boundary conditions, Journal of Differential Equations, 138 (1997), 86–132. 98e:35017

236. Bennett MR, Gibson WG, Robinson J. Probabilistic secretion of quanta and the synaptosecretosome hypothesis: evoked release at active zones of varicosities, boutons and endplates, Biophysical Journal, 73 (1997), 1815–1829.

237. Henery R, Gibson WG, Bennett MR. Quantal currents and potential in the three-dimensional anisotropic bidomain model of smooth muscle, Bulletin of Mathematical Biology, 59 (1997), 1047–1075.

238. Monro GP. This is art, not science, Leonardo Music Journal, 7 (1997), 77–80.

239. Maini PK, Myerscough MR. Boundary-driven instability, Applied Mathematics Letters, 10 (1997), 1–4.

240. Dancer EN, Hirano N. Existence of stable and unstable periodic solutions for semilinear parabolic problems, Discrete and Continuous Dynamical Systems, 3 (1997), no. 2, 207–216. 97j:35077

241. Dancer EN, Du Y. A note on multiple solutions of some semilinear elliptic problems, Journal of Mathematical Analysis and Applications, 211 (1997), 626–640. 98g:35075

242. Dancer EN. Some singularly perturbed problems on annuli and a counterexample to a problem of Gidas, Ni and Nirenberg, The Bulletin of the London Mathematical Society, 29 (1997), 322–326. 97m:35016

243. Dancer EN, Wei J. On the profile of solutions with two sharp layers to a singularly perturbed semilinear Dirichlet problem, Proceedings of the Royal Society of Edinburgh, 127A (1997), 691–701. 98i:35012

244. Dancer EN. Competing species systems with diffusion and large interactions, Rendiconti del Seminario Matematico e Fisico di Milano, 65 (1997), 23–33.

245. Monro GP. Taming chaotic waveforms, Interface 97 Conference Proceedings, Interface 97, John Rimmer, John Elmsly (eds.), University of Auckland School of Music, Auckland, New Zealand, (1997), 1–9.

246. Thomas CM, Gibson WG, Robinson J. Stability and bifurcations in an associative memory model, Neural Networks, 9 (1996), 53–66.

247. Gibson WG, Bennett MR, Farnell L. Monte Carlo simulation of quantal transmission at purinergic junctions, Computational Neuroscience: Trends in Research 1995, Fourth Annual Computatinal Neuroscience Meeting, Monterey, CA, JM Bower (ed.), Academic Press, (1996), 15–20.

248. Gibson WG, Bennett MR, Robinson J. Modeling the spontaneous release of quanta at active zones of varicosities, boutons and endplates, Computational Neuroscience. Trends in Research 1995, Fourth Annual Computational Neuroscience Meeting, JM Bower (ed.), Academic Press, (1996), 9–14.

249. Daners D. Robin boundary value problems on arbitrary domains, (1996), preprint

250. Dancer EN, Daners D. Domain Perturbation for Elliptic Equations Subject to Robin Boundary Conditions, (1996), preprint

251. Dancer EN, Toland JF. Real transformations with polynomial invariants, Journal of Geometry and Physics, 19 (1996), 99–122. 97c:58120

252. Daners D. Domain perturbation for linear and nonlinear parabolic equations, Journal of Differential Equations, 129 (1996), 358–402. 97h:35071

253. Myerscough MR, Darwen MJ, Hogarth WL. Stability, persistence and structural stability in a classical predator-prey model, Ecological Modelling, 89 (1996), 31–42.

254. Bennett MR, Farnell L, Gibson WG. Quantal transmitter release at somatic motor-nerve terminals: stochastic analysis of the subunit hypothesis, Biophysical Journal, 70 (1996), 654–668.

255. Bennett MR, Farnell L, Gibson WG. Quantal transmitter release onto different patterns of receptor distributions at somatic neuromuscular junctions, Journal of Theoretical Biology, 183 (1996), 231–236.

256. Gibson WG. Review of Neural Networks: An Introduction (second edition), by Muller, Reinhardt and Strickland, Australian and New Zealand Physicist, 33 (1996), 83–84.

257. Gibson WG, Bennett MR, Farnell L. Synaptic conductances for neural networks, ACNN96: Proceedings of the Seventh Australian Conference on Neural Networks, The Seventh Australian Conference on Neural Networks, P. Bartlett, A. Burkitt, R.C. Williamson (eds.), Australian National University, Canberra, ACT, Australia, (1996), 62–66. ISBN 0 7315 2429 2

258. Monro GP. Digital power - cheap, Sounds Australian, 14 (1996), 18–20.

259. Dancer EN. Some remarks on classical problems and fine properties of Sobolev spaces, Differential and Integral Equations, 9 (1996), 437–446. 97e:35057

260. Cao D, Dancer EN, Noussair ES, Yan S. On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems, Discrete and Continuous Dynamical Systems, 2 (1996), 221–236. 96m:35095

261. Dancer EN. A counterexample on competing species equations, Differential and Integral Equations, 9 (1996), 239–246. 97d:35220

262. Dancer EN, Du Y. The generalized Conley index and multiple solutions of semilinear elliptic problems, Abstract and Applied Analysis, 1 (1996), 103–135. 97i:35048

263. Dancer EN. Domain variation for certain sets of solutions and applications, Topological Methods in Nonlinear Analysis, 7 (1996), 95–113. 97m:35079

264. Fraser WB, Farnell L, Stump DM. Effect of yarn non-uniformity on the stability of the ring-spinning balloon, Royal Society of London. Proceedings. Series A. Mathematical and Physical Sciences, 449 (1995), 597–621.

265. Monro GP. Fractal Interpolation Waveforms, Computer Music Journal, 19 (1995), no. 1, 88–98.

266. Monro GP. Intuition, Algorithms and "Dry Rivers", ACMA 1995 (Australian Computer Music Association), June 9-11 1995, L. Harvey and A. Riddell (eds.), Australian Computer Music Association, (1995), 39–50.

267. Scoufis G, Cosgrove CM. On the initial value problem for the modified Benjamin-Ono equation, Journal of Mathematical Physics, 36 (1995), 5753–5759. 96e:35152

268. Fraser WB, Farnell L, Stump DM. The effect of a slub on the stability of the ring-spinning balloon, Journal of the Textile Institute, 86 (1995), no. 4, 610–634.

269. Daners D. Domain Perturbation for Linear and Nonlinear Parabolic Equations, (1995), preprint

270. Bennett MR, Gibson WG. On the contribution of quantal secretion from close-contact and loose-contact varicosities to the synaptic potentials in the vas deferens, Philosophical Transactions of the Royal Society of London. Series B, 347 (1995), 187–204.

271. Bennett MR, Farnell L, Gibson WG, Karunanithi S. Quantal transmission at purinergic junctions: stochastic interaction between ATP and its receptors, Biophysical Journal, 68 (1995), 925–935.

272. Bennett MR, Farnell L, Gibson WG. Quantal transmission at purinergic synapses: stochastic interaction between ATP and its receptors, Journal of Theoretical Biology, 175 (1995), 397–404.

273. Bennett MR, Gibson WG, Robinson J. Probabilistic secretion of quanta: spontaneous release at active zones of varicosities, boutons and endplates, Biophysical Journal, 69 (1995), 42–56.

274. Poznanski RR, Gibson WG, Bennett MR. Electrotonic coupling between two CA3 hyppocampal pyramidal neurons: a distributed cable model with somatic gap-junction, Bulletin of Mathematical Biology, 57 (1995), 865–881.

275. Thomas CM, Gibson WG, Robinson J. Stability and bifurcations in an associative memory model, Proceedings of the Sixth Australian Conference on Neural Networks, Australian Conference on Neural Networks, M. Charles and C. Latimer (eds.), (1995), 98–101.

276. Woodward ED, Tyson R, Myerscough MR, Murray JD, Budrene EO, Berg HC. Spatio-temporal patterns generated by Salmonella typhimurium, Biophysical Journal, 68 (1995), 2181–2189.

277. Daners D. Principal Eigenvalues for Some Periodic-Parabolic Operators on R^N and Related Topics, Journal of Differential Equations, 121 (1995), no. 2, 293–313. 96h:35080

278. Brown KJ, Daners D, Lopez-Gomez J. Change of stability for Schrödinger semigroups, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 125A (1995), 827–846. 96h:35035

279. Daners D. Periodic-parabolic eigenvalue problems with indefinite weight functions, Tübinger Berichte zur Funktionalanalysis, 4 (1995), 20–26.

280. Dancer EN. On the uniqueness of the poitive solution of a singularity perturbed problem, Rocky Mountain Journal of Mathematics, 25 (1995), 957–975. 96j:35021

281. Dancer EN, Guo ZM. Some remarks on the stability of sign changing solutions, The Tôhoku Mathematical Journal. Second Series, 47 (1995), 199–225. MR1329521

282. Dancer EN, López-Gómez L, Ortega R. On the spectrum of some linear noncooperative elliptic systems with radial symmetry, Differential and Integral Equations, 8 (1995), 515–523. 95h:35055

283. Dancer EN, Du Y. Multiple solutions of some semilinear elliptic equations via the generalized Conley index, Journal of Mathematical Analysis and Applications, 189 (1995), 848–871. 96a:35059

284. Dancer EN, Du Y. Positive solutions for a three species competitive system with diffusion – I. general existence results, Nonlinear Analysis. Theory, Methods and Applications, 24 (1995), 337–357. MR1312772

285. Dancer EN, Du Y. Positive solutions for a three species competitive system – II. the case of equal birth rates, Nonlinear Analysis. Theory, Methods and Applications, 24 (1995), 359–373. MR1312773

286. Monro GP. Waveform modification by lagged embedding, Proceedings of the conference CompMusic 93, CompMusic 93, Mikropolyphonie, 1 (1995), 29–31.

287. Dancer EN. On positive solutions of some singularly perturbed problems where the nonlinearity changes sign, Topological Methods in Nonlinear Analysis, 5 (1995), 141–175. 96i:35037

288. Dancer EN, Du Y. On sign-changing solutions of certain semilinear elliptic problems, Applicable Analysis, 56 (1995), 193–206. 97m:35061

289. Monro GP. Review of International Computer Music Conference, Tokyo 1993, Chroma (Newsletter of the Australian Computer Music Association), (1994), no. 15, 12–15.

290. Drummond J, Monro GP. Static and Dynamic Sound Warping, Synaesthetica '94, Canberra, 1–3 July 1994, (1994), 1–10.

291. Drummond J, Monro GP. Geometric Sound Transformations, International Computer Music Conference, Aarhus, 1994, International Computer Music Association, (1994), 327–328.

292. Dancer EN. Positivity of maps and applications, Topological Nonlinear Analysis, Matzeu M, Vignoli A (eds.), Birkhauser, (1994), 303–340.

293. Dancer EN, Gupta C. A Liapounov-type result with application to a Dirichlet-type two-point boundary value problem at resonance, Nonlinear Analysis. Theory, Methods and Applications, 22 (1994), 305–318. MR1264087

294. Dancer EN, Hess P. Stable subharmonic solutions in periodic reaction-diffusion equations, Journal of Differential Equations, 108 (1994), 190–200. 95d:35082

295. Dancer EN, Ortega P. Turing instabilities for systems of two equations with periodic coefficients, Differential and Integral Equations, 7 (1994), 1253–1264.

296. Dancer EN, Du Y. Existence of changing sgn solutions for some semilinear problems with jumping nonlinearities at zero, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 124 (1994), 1265–1276.

297. Dancer EN, Guo ZM. Uniqueness and stability for solutions of competing species equations with large interactions, Communications in Applied Nonlinear Analysis, 1 (1994), no. 2, 19–45. MR1280113

298. Dancer EN, Hess P. The symmetry of positive solutions of periodic parabolic problems, Journal of Computational and Applied Mathematics, 52 (1994), 81–89. 96a:35017

299. Monro GP. ICMC 1994 - The Human Touch, Chroma (Newsletter of the Australian Computer Music Association), (Oct 1994) (1994), no. 18, 11–14.

300. Bennett MR, Gibson WG, Robinson J. Dynamics of the CA3 pyramidal neuron autoassociative memory network in the hippocampus, Philosophical Transactions of the Royal Society of London. Series A. Physical Sciences and Engineering, 343 (1994), 167–187.

301. Dancer EN, Du Y. Competing species equations with diffusion, large interactions and jumping singularities, Journal of Differential Equations, 114 (1994), 434–475. 95i:35296

302. Dancer EN, Daners D. A priori bounds for solutions and spectra of Robin boundary value problems, (1994), preprint

303. Gibson WG, Robinson J, Thomas CM. Stability and bifurcations in an autoassociative memory model, European Symposium on Artificial Neural Networks, Verleysen M (ed.), D Facto, Brussels, (1994), 7–12. ISBN 2-9600049-1-4

304. Daners D, Koch Medina P. Superconvexity of the evolution operator and parabolic eigenvalue problems on R^N, Differential and Integral Equations, 7 (1994), 235 – 255. 94m:34147

305. Daners D, Koch Medina P. Exponential stability, change of stability and eigenvalue problems for linear time-periodic parabolic equations on R^N, Differential and Integral Equations, 7 (1994), 1265 – 1284. MR1269656

306. Daners D, Lopez-Gomez J. The singular perturbation problem for the periodic-parabolic logistic equation with indefinite weight functions, Journal of Dynamics and Differential Equations, 6 (1994), 659 – 670. 95i:35160

307. Cosgrove CM, Scoufis G. Painlevé classification of a class of differential equations of the second order and second degree, Studies in Applied Mathematics, 88 (1993), 25–87. 93k:34008

308. Cosgrove CM. Painlevé classification of all semilinear partial differential equations of the second order I. Hyperbolic equations in two independent variables, Studies in Applied Mathematics, 89 (1993), 1–61. 94g:35010

309. Cosgrove CM. Painlevé classification of all semilinear partial differential equations of the second order II. Parabolic and higher-dimensional equations, Studies in Applied Mathematics, 89 (1993), 95–151. 94g:35011

310. Dancer EN. On uniqueness and stability for solutions of singularly perturbed predator prey type equations with diffusion, Journal of Differential Equations, 102 (1993), 1–32. 94e:35075

311. Dancer EN, Toland J. The index change and global bifurcation for systems with a first integral, Proceedings of the London Mathematical Society, 66 (1993), 539–567. 94a:58140

312. Church PT, Dancer EN, Timourian J. The structure of a nonlinear elliptic operator, Transactions of the American Mathematical Society, 338 (1993), 1–41. 93j:35076

313. Dancer EN. Generic domain dependence for non smooth equations and the open set problem for jumping nonlinearity, Methods in Nonlinear Analysis, 1 (1993), 139–150. 94c:35085

314. Dancer EN. Weakly nonlinear Dirichlet problems on long or thin domains, Memoirs of the American Mathematical Society, American Mathematical Society, 105 (1993), no. 501, 66pp. 94b:35113

315. Cosgrove CM. All binomial-type Painlevé equations of the second order and degree three or higher, Studies in Applied Mathematics, 90 (1993), 119–187. 95e:34012

316. Monro GP. Logic, Sheaves and Factorization Systems, Journal of Symbolic Logic, 58 (1993), no. 3, 872–893. 94k:03082

317. Bennett MR, Gibson WG, Poznanski RR. Extracellular current flow and potential during quantal transmission from varicosities in a smooth muscle syncytium, Philosophical Transactions of the Royal Society of London. Series B, B342 (1993), 89–99.

318. Monro GP. Synthesis from attractors, International Computer Music Conference 1993, Tokyo, T. Taguti et al eds (ed.), International Computer Music Association, (1993), 390–392.

319. Myerscough MR. A simple model for temperature regulation in honeybee swarms, Journal of Theoretical Biology, 162 (1993), 381–393.

320. Galloway DJ, O'Brian NR. Numerical calculations of dynamos for ABC and related flows, Solar and Planetary Dynamos, MRE Proctor, PC Matthews and AM Rucklidge eds (eds.), Publications of the Newton Institute, Cambridge University Press, (1993), 105–113.

321. Dancer EN. Connectedness of the branch of positive solutions of some weakly nonlinear elliptic equations, Topological Methods in Analysis, 2 (1993), 91–104. 94j:35051

322. Dancer EN. Review of "Dynamics and Bifurcations" by J. Hale and H. Kocak, Australian Mathematical Society Gazette, 19 (1993), no. 6, 158–159.

323. Daners D, Koch Medina P. Abstract evolution equations, periodic problems and applications, Pitman Research Notes in Mathematics, Longman Scientific & Technical, Harlow, Essex, 279 (1992), iv+249. ISBN 0-582-09635-9 94b:34002

324. Daners D. Qualitative behaviour of an epidemics model, Differential and Integral Equations, 5 (1992), 1017–1032. MR1171976

325. Dampney C, Johnson M, Monro GP. An illustrated mathematical foundation for ERA, Proceedings of the Conference on Unified Computing, Institute of Mathematics and its Applications, Oxford University Press, (1992), 77–84.

326. Myerscough MR, Gray BF, Hogarth W, Norbury J. An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking, Journal of Mathematical Biology, 30 (1992), 389–411. 93e:92013

327. Myerscough MR, Murray JD. Analysis of propagating pattern in a chemotaxis system, Bulletin of Mathematical Biology, 54 (1992), 77–94.

328. Gibson WG, Robinson J. Statistical analysis of the dynamics of a sparse associative memory, Neural Networks, 5 (1992), 645–661.

329. Adhikari SK, Gibson WG. Low-energy behaviour of few-particle scattering amplitudes in two dimensions, Physical Review. A, 46 (1992), 3967–3977.

330. Monro GP. Proofs and Problems in Calculus, 2nd edition Carslaw Publications, (1991),

331. Gibson WG, Robinson J, Bennett MR. Probabilistic secretion of quanta in the central nervous system: granule cell synaptic control of pattern separation and activity regulation, Philosophical Transactions of the Royal Society of London. Series B, 332 (1991), 199–220.

332. Maini PK, Myerscough MR, Winters KH, Murray JD. Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern formation, Bulletin of Mathematical Biology, 53 (1991), 701–719.

333. Murray JD, Myerscough MR. Pigmentation pattern formation on snakes, Journal of Theoretical Biology, 149 (1991), 339–360.

334. Forbes LK, Myerscough MR, Gray BF. On the presence of limit-cycles in a model exothermic chemical reaction: Sal'nikov's oscillator with two temperature-dependent reaction rates, Royal Society of London. Proceedings. Series A. Mathematical and Physical Sciences, A 435 (1991), 591–604. 92j:80008

335. Cosgrove CM. On an overdetermined Euclidean/Poincaré-invariant system of partial differential equations, Chaos and Order, Joshi N, Dewar RL (eds.), World Scientific, Singapore, (1991), 22–48.

336. Monro GP. The Pan Pacific Music Technology Camp — Gordon Monro interviews Dennis Patterson, Chroma (Newsletter of the Australian Computer Music Association), 7 (1991),

337. Dancer EN. On the existence and uniqueness of positive solutions for competing species models with diffusion, Transactions of the American Mathematical Society, 326 (1991), 829–859. 91k:35122

338. Dancer EN. Upper and lower stability and index theory for positive mappings and applications, Nonlinear Analysis. Theory, Methods and Applications, 17 (1991), 205–217. MR1120974

339. Dancer EN. On the number of positive solutions of some weakly nonlinear equations in annular regions, Mathematische Zeitschrift, 206 (1991), 551–562. 92k:35097

340. Dancer EN. On the existence of two-dimensional invariant tori for scalar parabolic equations with time periodic coefficients, Annali della Scuola Normale Superiore di Pisa, 43 (1991), 455–471. MR1145318

341. Dancer EN, Hess P. Stability of fixed points for order-preserving discrete-time dynamical systems, Journal für die Reine und Angewandte Mathematik, 419 (1991), 125–139. 92i:47088

342. Dancer EN, Toland J. Equilibrium states in the degree theory of periodic orbits with a first integral, Proceedings of the London Mathematical Society, 63 (1991), 569–594. 92m:58111

343. Myerscough MR, Maini PK, Murray JD, Winters KH. Two dimensional pattern formation in a chemotactic system, Dynamics of Complex Interconnected Biological System, Vincent TL, Mees AI, Jennings LS (eds.), Birkhauser, Boston, (1990), 65–83. MR1104228

344. Winters KH, Myerscough MR, Maini PK, Murray JD. Tracking bifurcating solutions of a model biological pattern generator, Impact of Computing in Science and Engineering, 2 (1990), 355–371.

345. Myerscough MR. Propagation of a standing wave pattern in a chemotactic system, Australian Mathematical Society Gazette, 17 (1990), 1–4. MR1037098

346. Gibson WG, Robinson J, Bennett MR. Probabilistic Secretion of Transmitter at Granule Cell Synapses: A Role in Pattern Separation and Activity Regulation, Proceedings of the First Australian Conference on Neural Networks, Australian Conference on Neural Networks, Sydney (January, 1990), (1990), 132–133.

347. Monro GP. A note on the performer's conception of space, Journal for the Anthropological Study of Human Movement, 6 (1990), no. 2, 63–71.

348. Dancer EN. Certain weakly nonlinear partial differential equations on annuli, Nonlinear Analysis. Theory, Methods and Applications, 14 (1990), 441–442. MR1041507

349. Dancer EN. The effect of domain shape on the number of positive solutions of certain nonlinear equations II, Journal of Differential Equations, 87 (1990), 316–339. 91j:35034

350. Dancer EN, Toland J. Degree theory for orbits of prescribed period for flows with a first integral, Proceedings of the London Mathematical Society, 60 (1990), 549–580. 91a:58152

351. Dancer EN, Hess P. Behaviour of a semilinear periodic-parabolic problem when a parameter is small, Functional analytic methods for partial differential equations, Springer-Verlag, Berlin, (1990), MR1084598

352. Glasser ML, Cosgrove CM. Mallow's integral and some generalizations, Journal of Mathematical Analysis and Applications, 139 (1989), 533–536. 90h:33002

353. Glasser ML, Cosgrove CM. A Gaussian-geometric finite sum formula, Journal of Mathematical Analysis and Applications, 142 (1989), 331–336. 90h:11074

354. Myerscough MR, Swan MA. A model for swimming unipolar spirilla, Journal of Theoretical Biology, 139 (1989), 201–218.

355. Dancer EN. A counterexample to the Lazer-McKenna conjecture, Nonlinear Analysis. Theory, Methods and Applications, 13 (1989), 19–21. MR0973364

356. Dancer EN. Degenerate critical points, Morse inequalities and homotopy indices III, Bulletin of the Australian Mathematical Society, 40 (1989), 97–108. 91i:58025

357. Dancer EN. On the influence of domain shape on the existence of large solutions of some superlinear problems, Mathematische Annalen, 285 (1989), 647–669. 91h:35122

358. Dancer EN, Sweers G. On the existence of a maximal weak solution for a semilinear elliptic equation, Differential and Integral Equations, 2 (1989), 533–540. 90h:35049

359. Monro GP. Proofs and Problems in Calculus, Carslaw Publications, Sydney, (1988),

360. Dancer EN. Multiple solutions of asymptotically homogeneous problems, Annali di Matematica, 152 (1988), 63–78. 90i:35095

361. Dancer EN. The effect of domain shape on the number of solutions of weakly nonlinear elliptic equations, Journal of Differential Equations, 74 (1988), 120–156. 89h:35256

362. Dancer EN. A note on an equation with critical exponent, The Bulletin of the London Mathematical Society, 20 (1988), 600–602. 90e:35011

363. Monro GP. The concept of multiset, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, 33 (1987), 171–178. 89b:04003

364. O'Brian NR. Geometry of twisting cochains, Compositio Mathematica, 63 (1987), 41–62. 89h:58176

365. Clarkson PA, Cosgrove CM. Painlevé analysis of the non-linear Schrödinger family of equations, Journal of Physics. A. Mathematical and General, 20 (1987), 2003–2024. 89c:35136

366. Gibson WG, Larsen SY, Popiel J. Hyperspherical harmonics in one-dimension: adiabatic effective potentials for three particles with delta-function interactions, Physical Review. A, A 35 (1987), 4919–4929.

367. Gibson WG. Levinson's theorem and the second virial coefficient in one, two and three dimensions, Physical Review. A, A 36 (1987), 564–575. 88k:81237

368. Dancer EN. Degenerate critical points, Morse inequalities and homotopy indices II, Journal für die Reine und Angewandte Mathematik, 382 (1987), 145–164. 89h:58038

369. Dancer EN, Hess P. On stable solutions of quasilinear periodic parabolic problems, Annali della Scuola Normale Superiore di Pisa, 14 (1987), 123–141. MR0937539

370. Dancer EN, Schmitt K. On positive solutions of semilinear elliptic equations, Proceedings of the American Mathematical Society, 101 (1987), 445–452. 89a:35017

371. Monro GP. Quasitopoi, logic and Heyting valued models, Journal of Pure and Applied Algebra, 42 (1986), 141–164. 88m:03096

372. Monro GP. A category theoretic approach to Boolean valued models of set theory, Journal of Pure and Applied Algebra, 42 (1986), 245–274. 88f:03045

373. Gibson WG. Two-dimensional scattering: low-energy behaviour of the Jost function and Levinson's theorem, Physics Letters. A, 117 (1986), 107–110. 87g:81119

374. Adhikari SK, Gibson WG, Lim TK. Effective range theory in two dimensions, Journal of Chemical Physics, 85 (1986), 5580–5583.

375. Gibson WG. Applications of few-body methods in statistical mechanics, Few-Body Methods: Principles and Applications, International Symposium on Few-Body Methods, Nanning, China, (August 1985), Lim TK, et al. eds (eds.), World Scientific, Singapore, (1986), 637–659.

376. Dancer EN. On the number of solutions of weakly nonlinear elliptic equations when a parameter is large, Proceedings of the London Mathematical Society, 53 (1986), 429–452. 88c:35061

377. Dancer EN. The G-invariant implicit function theorem in infinite dimensions II, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 102A (1986), 211–220. 87i:58015

378. Dancer EN. Multiple fixed points of positive mappings, Journal für die Reine und Angewandte Mathematik, 371 (1986), 46–66. 88b:58020

379. Dancer EN. Remarks on multiple solutions of nonlinear equations, Miniconference on geometric problems in partial differential equations, Centre for Mathematical Analysis, (1986), 25–31. MR0857651

380. Dancer EN. Remarks on S¹ symmetries and a special degree for S¹-invariant gradient maps, Nonlinear analysis and applications, Proc. Symposia in Pure Mathematics, 45 American Mathematical Society, (1986), 353–358. MR0843571

381. O'Brian NR, Rawnsley JH. Twistor spaces, Annals of Global Analysis and Geometry, 3 (1985), 29–58. 87d:32054

382. O'Brian NR, Toledo D, Tong YL. A Grothendieck-Riemann-Roch formula for complex manifolds, Mathematische Annalen, 271 (1985), 493–526. 87h:32045

383. Gibson WG. Quantum corrections to the second virial coefficient for hard discs, Molecular Physics, 56 (1985), 701–708.

384. Dancer EN. On positive solutions of some pairs of differential equations II, Journal of Differential Equations, 59 (1985), 236–258. 87i:35070

385. Dancer EN. A new degree for S¹-invariant gradient mappings and applications, Analyse Nonlinéaire, 2 (1985), 329–370. MR0817033

386. Dancer EN. Counterexamples to some conjectures on the number of solutions of nonlinear equations, Mathematische Annalen, 272 (1985), 421–440. 86j:35056

387. Hickman RC, Monro GP. Distributive partially ordered sets, Fundamenta Mathematicae, 120 (1984), 151–166. 86h:06006

388. Gibson WG. Padé approximant method for the statistical thermodynamics of a quantum system. I. General formulation and simple examples, Journal of Physics. A. Mathematical and General, 17 (1984), 1877–1890. 85g:82044a

389. Gibson WG. Padé approximant method for the statistical thermodynamics of a quantum system. II. Quartic anharmonic oscillator, Journal of Physics. A. Mathematical and General, 17 (1984), 1891–1901. 85g:82044b

390. Dancer EN. Perturbation of zeros in the presence of symmetries, Journal of the Australian Mathematical Society. (Series A), 36 (1984), 106–125. 85g:58027

391. Dancer EN. Order intervals of self-adjoint linear operators and nonlinear homeomorphisms, Pacific Journal of Mathematics, 115 (1984), 57–72. 86c:47086

392. Dancer EN. Degenerate critical points, homotopy indices and Morse inequalities, Journal für die Reine und Angewandte Mathematik, 350 (1984), 11–22.

393. Dancer EN. On positive solutions of some pairs of differential equations, Transactions of the American Mathematical Society, 284 (1984), 729–743. 85i:35056

394. Dancer EN. Uniqueness for elliptic equations when a parameter is large, Nonlinear Analysis. Theory, Methods and Applications, 8 (1984), 835–836.

395. Dancer EN. Morse inequalities and estimates for the number of solutions of nonlinear equations, Miniconference on nonlinear analysis, Centre for Mathematical Analysis Proceedings, 8 (1984), MR0799207

396. Monro GP. On generic extensions without the axiom of choice, The Journal of Symbolic Logic, 48 (1983), 39–52. 84d:03061

397. Gibson WG. Low-temperature expansions for the second and third cluster integrals of a two-dimensional quantum system of hard discs, Molecular Physics, 49 (1983), 103–128.

398. Suffern KG, Fackerell ED, Cosgrove CM. Eigenvalues of the Chandrasekhar-Page angular functions, Journal of Mathematical Physics, 24 (1983), 1350–1358. 85b:83038

399. Dancer EN. On the indices of fixed points in cones and applications, Journal of Mathematical Analysis, 91 (1983), 131–151. 84d:58020

400. Dancer EN. On the existence of zeros of perturbed operators, Nonlinear Analysis. Theory, Methods and Applications, 9 (1983), 717–727. MR0707080

401. Dancer EN. Non-uniqueness for nonlinear boundary-value problems, Rocky Mountain Journal of Mathematics, 13 (1983), 401–412. 85h:58031

402. Dancer EN. Breaking of symmetries for forced equations, Mathematische Annalen, 262 (1983), 473–486. 85g:58026

403. Dancer EN, Nussbaum R, Stuart C. Quasinormal cones in Banach spaces, Nonlinear Analysis. Theory, Methods and Applications, 7 (1983), 539–553. MR0698364

404. Dancer EN. Bifurcation under continuous groups of symmetries, Proceedings of the NATO conference, Systems on nonlinear partial differential equations, Reidel, (1983), 343–350. MR0725531

405. Cosgrove CM. Relationship between the inverse scattering techniques of Belinskii-Zakharov and Hauser-Ernst in general relativity, Journal of Mathematical Physics, 23 (1982), 615–633. 83f:83008

406. Cosgrove CM. Continuous groups and Bäcklund transformations generating asymptotically flat solutions, Proceedings of the Second Marcel Grossmann Meeting on General Relativity, Ruffini R ed (ed.), North-Holland, Amsterdam, (1982), 287–299. MR0678952

407. Dancer EN. Asymptotically homogeneous problems and symmetries, Nonlinear Analysis. Theory, Methods and Applications, 6 (1982), 667–686. MR0664144

408. Dancer EN. The implicit function theorem with symmetries in infinite dimensions, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 92A (1982), 13–30. 84c:58010

409. Dancer EN. On the use of asymptotics in some nonlinear boundary value problems, Annali di Matematica, 131 (1982), 167–185. 84h:34044

410. Dancer EN. Solvability of some asymptotically homogeneous problems, Miniconference on partial differential equations, Centre for Mathematical Analysis Proceedings, 1 ANU Press, (1982), MR0758455

411. O'Brian NR, Toledo D, Tong YL. The trace map and characteristic classes for coherent sheaves, American Journal of Mathematics, 103 (1981), 225–252. 82f:32021

412. O'Brian NR, Toledo D, Tong YL. Hirzebruch-Riemann-Roch for coherent sheaves, American Journal of Mathematics, 103 (1981), 253–271. 82f:32022

413. O'Brian NR, Toledo D, Tong YL. Grothendieck-Riemann-Roch for coherent sheaves, Bulletin of the American Mathematical Society, 5 (1981), 182–184. 82m:32011

414. Gibson WG. Quantum corections to the second virial coefficient for potentials with a hard core, Journal of Chemical Physics, 74 (1981), 237–239.

415. Gibson WG, Thompson RS. Neural model with probabilistic firing behaviour. I. General considerations, Mathematical Biosciences, 56 (1981), 239–253. 82j:92036a

416. Gibson WG, Thompson RS. Neural model with probabilistic firing behaviour. II. One- and two-neuron networks, Mathematical Biosciences, 56 (1981), 255–285. 82j:92036b

417. Gibson WG. Third virial coefficient for quantum hard spheres: two-point Padé approximants for direct and exchange parts, Journal of Statistical Physics, 26 (1981), 333–346.

418. Cosgrove CM. Bäcklund transformations in the Hauser-Ernst formalism for stationary axisymmetric spacetimes, Journal of Mathematical Physics, 22 (1981), 2624–2639. 83m:83023

419. Dancer EN. On the existence of solutions of certain asymptotically homogeneous problems, Mathematische Zeitschrift, 177 (1981), 33–48. 82f:58029

420. Gibson WG. Quantum-mechanical third virial coefficient for hard spheres. Application of two-point Padé approximant, Molecular Physics, 40 (1980), 237–239.

421. Cosgrove CM. Stationary axisymmetric gravitational fields: an asymptotic flatness preserving transformation, Edwards C (ed.), Lecture Notes in Physics, 124 Springer-Verlag, Berlin, (1980), 444–453. MR0589584

422. Cosgrove CM. Relationships between the group-theoretic and soliton-theoretic techniques for generating stationary axisymmetric gravitational solutions, Journal of Mathematical Physics, 21 (1980), 2417–2447. 82m:83012

423. Dancer EN. On the existence of bifurcating solutions in the presence of symmetries, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 85A (1980), 321–336. 82a:58017

424. Dancer EN. An implicit function theorem with symmetries and its applications to nonlinear eigenvalue problems, Bulletin of the Australian Mathematical Society, 21 (1980), 81–91. 81e:58021

425. Dancer EN. On the structure of solutions of an equation in chemical catalysis theory when a parameter is large, Journal of Differential Equations, 37 (1980), 404–437. 82b:35018

426. Gibson WG. Variational Principle for the equilibrium Wigner distribution function, Physica, 98A (1979), 298–306. 81a:82017

427. Dancer EN. On the ranges of certain damped nonlinear differential equations, Annali Matematica Pura ed Applicata. Serie Quarta, 119 (1979), 281–295. MR0551231

428. Dancer EN. On radially symmetric bifurcation, Journal of the London Mathematical Society, 20 (1979), 287–292. 80k:35009

429. Dancer EN, Sims B. Weak star separability, Bulletin of the Australian Mathematical Society, (1979), 253–257. 81g:46030

430. Monro GP, Taylor DE. On multiply transitive groups, Journal of the Australian Mathematical Society. (Series A), 26 (1978), 57–58. 80c:20005

431. Eyland RW, Monro GP. The History of Mathematical Ideas Option at Sydney University, a Follow Up, Australian Mathematical Society Gazette, 5 (1978), 20–24. 80m:01002

432. Monro GP. The development of complex numbers, Reflections, 3 (1978), 4–9.

433. Gibson WG, Thompson RS. Powers of nonsymmetric stochastic matrices: comment on a paper by Little, Ng and Shaw, Mathematical Biosciences, 42 (1978), 37–41. 58:28044b

434. Cosgrove CM. A new formulation of the field equations for the stationary axisymmetric vacuum gravitational field I. General theory, Journal of Physics. A. Mathematical and General, 11 (1978), 2389–2404. 80e:83036a

435. Cosgrove CM. A new formulation of the field equations for the stationary axisymmetric vacuum gravitational field II. Separable solutions, Journal of Physics. A. Mathematical and General, 11 (1978), 2405–2430. 80e:83036b

436. Dancer EN. Some remarks on a theorem of Kachurovskii, Journal of Mathematical Analysis and Applications, 62 (1978), 525–529. 58:2496

437. Dancer EN. Asymptotics applied to nonlinear boundary value problems, Bulletin of the Australian Mathematical Society, 18 (1978), 29–35. 58:1345

438. Dancer EN. On the ranges of certain weakly nonlinear elliptic partial differential equations, Journal de Mathématiques Pures et Appliquées, 57 (1978), 351–366. 80g:35055

439. O'Brian NR. Zeroes of holomorphic vector fields and Grothendieck duality theory, Transactions of the American Mathematical Society, 229 (1977), 289–306. 56:3900

440. Cosgrove CM. New family of exact stationary axisymmetric gravitational fields generalising the Tomimatsu-Sato solutions, Journal of Physics. A. Mathematical and General, 10 (1977), 1481–1524. 58:20168

441. Cosgrove CM. Limits of the generalised Tomimatsu-Sato gravitational fields, Journal of Physics. A. Mathematical and General, 10 (1977), 2093–2105. 57:4961

442. Dancer EN. Boundary value problems for ordinary differential equations on infinite intervals II, The Quarterly Journal of Mathematics. Oxford. Second Series, 28 (1977), 101–115. 56:3395

443. Dancer EN. On the Dirichlet problem for weakly nonlinear partial differential equations, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 76A (1977), 283–300. 58:17506

444. Monro GP. Hilbert and Gödel : the recent history of the axiomatic method, The Australian Mathematics Teacher, 32 (1976), 103–106.

445. Herb RA, O'Brian NR. A characterization of semisimple, unipotent and regular elements in a reductive algebraic group, The Bulletin of the London Mathematical Society, 8 (1976), 233–238. 56:15786

446. Dancer EN. A note on a nonlinear elliptic eigenvalue problem, Bulletin of the Australian Mathematical Society, 12 (1976), 399–405.

447. Dancer EN. A note on a paper of Fucík and Necas, Mathematische Nachrichten, 73 (1976), 151–153. 55:1042

448. Dancer EN. Boundary value problems for weakly nonlinear ordinary differential equations, Bulletin of the Australian Mathematical Society, 15 (1976), 321–328. 55:3389

449. Monro GP. Independence results concerning Dedekind finite sets, Journal of the Australian Mathematical Society, 19 (1975), 35–46. 50:12718

450. O'Brian NR. Zeroes of holomorphic vector fields and the Grothendieck residue, The Bulletin of the London Mathematical Society, 7 (1975), 33–38. 51:10667

451. O'Brian NR. Local properties of analytic functions and non standard analysis, Proc. conf. on complex analysis, Trieste, 1975, 3 (1975), 89–106.

452. Byrnes SG, Gibson WG. Quantum-mechanical radial distribution function for a hard-sphere gas at low density and high temperature, Physical Review. A, 11 (1975), 270–275.

453. Gibson WG. Quantum corrections to the properties of a dense fluid with non-analytic intermolecular potential function. I. The general case, Molecular Physics, 30 (1975), 1–11.

454. Gibson WG. Quantum corrections to the properties of a dense fluid with non-analytic intermolecular potential function. II. Hard spheres, Molecular Physics, 30 (1975), 13–30.

455. Dancer EN. Boundary value problems for ordinary differential equations on infinite intervals, Proceedings of the London Mathematical Society, 30 (1975), 76–94. 52:867

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