Dr Bevan Thompson
Honorary Associate Professor
School of Mathematics and Physics
Personal page
Book Chapters
Vladimirov, I G and Thompson, H B (2006). Bayesian forecasting in univariable autoregressive models with normal-gamma prior distribution of unknown parameters. Proceedings of the Conference on Differential & Difference Equations and Applications. (pp. 1099-1108) edited by Ravi P Agarnal and Kanishka Perera. USA: Hindawi.
Chang, G., Thompson, H. B. and Yuan, X. (2000). Existence of solutions for generalized vector variational-like inequalities. Vector Variational Inequalities and Vector Equilibria, Mathematical Theories. (pp. 39-53) edited by F. Giannessi. Netherlands: Kluwer Academic Publishers. doi: 10.1007/978-1-4613-0299-5_3
Journal Articles
Best, Denisse, Burrage, Kevin, Burrage, Pamela, Donovan, Diane, Ginige, Shamila, Powley, Tanya, Thompson, Bevan and Daly, James (2022). Probabilistic mathematical modelling to predict the red cell phenotyped donor panel size. PLoS One, 17 (11) e0276780, 1-15. doi: 10.1371/journal.pone.0276780
Donovan, Diane, Azadi, Mohsen, Ganpule, Sameer, Nuralishahi, Turaj, Smith, Andrew, Josserand, Sylvain, Thompson, Bevan, Reay, Thomas, Gay, Laura, Burrage, Kevin, Burrage, Pamela, Lawson, Brodie and Yazıcı, Emine (2022). Improved learning cycle assessment of stimulated wells’ performance through advanced mathematical modeling. SPE Journal, 27 (3), 1729-1743. doi: 10.2118/209222-PA
Donovan, D., Burrage, K., Burrage, P., McCourt, T. A., Thompson, B. and Yazici, E. S. (2018). Estimates of the coverage of parameter space by Latin Hypercube and Orthogonal Array-based sampling. Applied Mathematical Modelling, 57, 553-564. doi: 10.1016/j.apm.2017.11.036
Song, Yawei and Thompson, Bevan (2015). The Dirichlet problem for the vector ordinary p-Laplacian. Journal of Applied Mathematics and Computing, 47 (1-2), 381-399. doi: 10.1007/s12190-014-0781-6
Song, Yawei and Thompson, Bevan (2013). Systems of differential equations with implicit impulses and fully nonlinear boundary conditions. Boundary Value Problems, 2013 (1) 240. doi: 10.1186/1687-2770-2013-240
Makin, A. S. and Thompson, H. B. (2012). О разложениях по собственным функциям нелинейного оператора Штурма-Лиувилля с краевыми условиями, зависящими от спектрального параметра. Дифференциальные уравнения, 48 (2), 171-182.
Makin, A. S. and Thompson, H. B. (2012). On eigenfunction expansions for a nonlinear Sturm-Liouville operator with spectral-parameter dependent boundary conditions. Differential Equations, 48 (2), 176-188. doi: 10.1134/S0012266112020024
Mohamed, Mesliza, Thompson, Bevan and Jusoh, Muhammad Sufian (2012). First-order three-point boundary value problems at resonance part III. Journal of Applied Mathematics, 2012 (357651) 357651, 1-14. doi: 10.1155/2012/357651
Cabada, Alberto and Thompson, Bevan (2011). Nonlinear second-order equations with functional implicit impulses and nonlinear functional boundary conditions. Nonlinear Analysis Theory Methods and Applications, 74 (18), 7198-7209. doi: 10.1016/j.na.2011.07.047
Thompson, Jayne, Thompson, Bevan and Feckan, Michal (2011). On the stability of a domain-wall brane model. Nonlinear Analysis, Theory, Methods and Applications, 74 (15), 4989-4999. doi: 10.1016/j.na.2011.04.058
Mohamed, Mesliza, Thompson, Bevan and Jusoh, Muhammad S. (2011). First-order three-point BVPs at resonance (II). Electronic Journal of Qualitative Theory of Differential Equations (68), 1-21. doi: 10.14232/ejqtde.2011.1.68
Mohamed, Mesliza, Thompson, Bevan and Jusoh, Muhammad Sufian (2011). First-order three-point boundary value problems at resonance. Journal of Computational and Applied Mathematics, 235 (16), 4796-4801. doi: 10.1016/j.cam.2010.10.029
Mawhin, Jean and Thompson, Bevan (2011). Bounding surfaces and second order quasilinear equations with compatible nonlinear functional boundary conditions. Advanced Nonlinear Studies, 11 (1), 157-178. doi: 10.1515/ans-2011-0108
Mawhin, Jean and Thompson, H. B. (2011). Nagumo conditions and second-order quasilinear equations with compatible nonlinear functional boundary conditions. Rocky Mountain Journal of Mathematics, 41 (2), 573-596. doi: 10.1216/RMJ-2011-41-2-573
Kongson, Jutarat, Thompson, Bevan and Lenbury, Yongwimon (2011). Multiple solutions for systems of differential equations with nonlinear boundary conditions. Nonlinear Studies, 18 (1), 27-50.
Stehlik, P and Thompson, B (2010). Applications of maximum principles to dynamic equations on time scales. Journal of Difference Equations and Applications, 16 (4), 373-388. doi: 10.1080/10236190802425227
Dragomir, S. S. and Thompson, H. B. (2010). A two points Taylor’s formula for the generalised Riemann integral. Demonstratio Mathematica, 43 (4), 827-840. doi: 10.1515/dema-2010-0410
Huang, Nan-jing, Li, Jun and Thompson, H. B. (2008). Generalized vector F-variational inequalities and vector F-complementarity problems for point-to-set mappings. Mathematical and Computer Modelling, 48 (5-6), 908-917. doi: 10.1016/j.mcm.2006.01.030
Ma, Ru Yun and Thompson, Bevan (2008). Nodal solutions for a nonlinear fourth-order eigenvalue problem. Acta Mathematica Sinica, English Series, 24 (1), 27-34. doi: 10.1007/s10114-007-1009-6
Hong, M. C. and Thompson, B. (2007). Stability of the equator map for the hessian energy. Proceedings of the American Mathematical Society, 135 (10), 3163-3170. doi: 10.1090/S0002-9939-07-08950-2
Agarwal, R. P., Thompson, H. B. and Tisdell, C. C. (2007). On the existence of multiple solutions to boundary value problems for second order ordinary differential equations. Dynamic Systems and Applications, 16 (3), 595-609.
Stehlik, P. and Thompson, B. (2007). Maximum principles for second order dynamic equations on time scales. Journal of Mathematical Analysis and Applications, 331 (2), 913-926. doi: 10.1016/j.jmaa.2006.09.003
Feckan, M., Ma, R. and Thompson, B. (2007). Weakly coupled oscillators and topological degree. Bulletin des Sciences Mathematiques, 131 (6), 559-571. doi: 10.1016/j.bulsci.2006.05.006
Bereanu, C. and Thompson, H. B. (2007). Periodic solutions of second order nonlinear difference equations with discrete ø-Laplacian. Journal of Mathematical Analysis and Applications, 330 (2), 1002-1015. doi: 10.1016/j.jmaa.2006.07.104
Feckan, M., Ma, R. and Thompson, B. (2007). Forced symmetric oscillations. Bulletin of the Belgian Mathematical Society, 14 (1), 73-85. doi: 10.36045/bbms/1172852245
Vladimirov, I .G. and Thompson, H. B. (2006). A scalarization technique for computing the power and exponential moments of gaussian random matrices. Journal of Applied Mathematics and Stochastic Analysis, 2006 (1) 42542, 1-20. doi: 10.1155/JAMSA/2006/42542
HUANG,Nan Jing, LI, Jun and Thompson, H. B. (2006). Stability for parametric implicit vector equilibrium problems. Mathematical And Computer Modelling, 43 (11-12), 1267-1274. doi: 10.1016/j.mcm.2005.06.010
Peterson, A and Thompson, B (2006). Henstock-Kurzweil Delta and Nabla Integrals. Journal of Mathematical Analysis and Applications, 323 (1), 162-178. doi: 10.1016/j.jmaa.2005.10.025
Chowdhury, Mohammad S. R. and Thompson, H. B. (2005). Generalized variational-like inequalities for pseudomonotone type II operators. Nonlinear Analysis-Theory Methods & Applications, 63 (5-7), E321-E330. doi: 10.1016/j.na.2005.01.060
Ma, RY and Thompson, B (2005). Solvability of singular second order m-point boundary value problems of Dirichlet type. Bulletin of The Australian Mathematical Society, 71 (1), 41-52. doi: 10.1017/S0004972700037990
Fang, Y. P., Huang, N. J. and Thompson, H. B. (2005). A new system of variational inclusions with (H,eta)-monotone operators in Hilbert spaces. Computers & Mathematics With Applications, 49 (2-3), 365-374. doi: 10.1016/j.camwa.2004.04.037
Ma, RY and Thompson, B (2005). Multiplicity results for second-order two-point boundary value problems with nonlinearities across several eigenvalues. Applied Mathematics Letters, 18 (-), 587-595. doi: 10.1016/j.aml.2004.09.011
Ma, RY and Thompson, B (2005). A note on bifurcation from an interval. Nonlinear Analysis-theory Methods & Applications, 62 (4), 743-749. doi: 10.1016/j.na.2005.04.006
Tisdell, CC and Thompson, HB (2005). On the existence of solutions to boundary value problems on time scales. Dynamics Of Continuous Discrete And Impulsive Systems-Series A-Mathematical Analysis, 12 (5), 595-606.
Ma, R. and Thompson, B. (2005). Multiplicity results for second-order two-point boundary value problems with superlinear or sublinear nonlinearities. Journal of Mathematical Analysis And Applications, 303 (2), 726-735. doi: 10.1016/j.jmaa.2004.09.002
Ma, R. Y. and Thompson, B. (2005). Global behavior of positive solutions of nonlinear three-point boundary value problems. Nonlinear Analysis-theory Methods & Applications, 60 (4), 685-701. doi: 10.1016/j.na.2004.09.044
Ma, R. and Thompson, B. (2004). Nodal solutions for nonlinear eigenvalue problems. Nonlinear Analysis, 59 (5), 707-718. doi: 10.1016/j.na.2004.07.030
Makin, Alexander S. and Thompson, H. Bevan (2004). Convergence of eigenfunction expansions corresponding to nonlinear Sturm-Liouville operators. Electronic Journal of Differential Equations, 2004 (87), 1-10.
Makin, Alexander and Thompson, Bevan (2004). An estimate for solutions to the Schrödinger equation. Electronic Journal of Differential Equations, 2004 (34), 1-8.
Chowdury, M.S.R., Haque, A.L., Thompson, H.B. and Quasem, G.M.A. (2004). The surjectivity of pseudo-monotone type III operators in reflexive Banach spaces. Nonlinear Functional Analysis and Applications, 9, 37-44.
Mawhin, J., Thompson, H. B. and Tonkes, E. (2004). Uniqueness for boundary value problems for second order finite difference equations. Journal of Difference Equations and Applications, 10 (8), 749-757. doi: 10.1080/10236190410001710301
Ma, R. Y. and Thompson, B. (2004). Positive solutions for nonlinear m-point Eigenvalue problems. Journal of Mathematical Analysis And Applications, 297 (1), 24-37. doi: 10.1016/j.jmaa.2003.12.046
Wu, X., Thompson, B. and Yuan, X. (2003). On continuous selection problems for multivalued mappings with the local intersection property in hyperconvex metric spaces. Journal of Applied Analysis, 9 (2), 249-260. doi: 10.1515/JAA.2003.249
Mawhin, J. and Thompson, H. B. (2003). Periodic or Bounded Solutions of Carathéodory Systems of Ordinary Differential Equations. Journal of Dynamics and Differential Equations, 15 (2-3), 327-334. doi: 10.1023/B:JODY.0000009739.00640.44
Wu, Xian, Thompson, B. and Yuan, George Xian-Zhi (2003). Quasiequilibrium problem in H-spaces. Computers and Mathematics with Applications, 45 (10-11), 1629-1636. doi: 10.1016/S0898-1221(03)00142-1
Agarwal, R. P., Thompson, H. B. and Tisdell, C. C. (2003). Three-point boundary value problems for second-order discrete equations. Computers & Mathematics With Applications, 45 (6-9), 1429-1435. doi: 10.1016/S0898-1221(03)00098-1
Thompson, H. B. (2003). Existence of multiple solutions for finite difference approximations to second-order boundary value problems. Nonlinear Analysis: Theory, Methods and Applications, 53 (1), 97-110. doi: 10.1016/S0362-546X(02)00297-3
Agarwal, RP, Thompson, HB and Tisdell, CC (2003). Difference equations in Banach spaces. Computers & Mathematics With Applications, 45 (6-9), 1437-1444. doi: 10.1016/S0898-1221(03)00100-7
Thompson, HB and Tisdell, CC (2003). The nonexistence of spurious solutions to discrete, two-point boundary value problems. Applied Mathematics Letters, 16 (1), 79-84. doi: 10.1016/S0893-9659(02)00147-7
Huang, NJ, Li, J and Thompson, HB (2003). Implicit vector equilibrium problems with applications. Mathematical And Computer Modelling, 37 (12-13), 1343-1356. doi: 10.1016/s0895-7177(03)90045-8
Chowdhury, MSR, Tarafdar, E and Thompson, HB (2003). Non-compact generalized variational inequalities for quasi-monotone and hemi-continuous operators with applications. Acta Mathematica Hungarica, 99 (1 - 2), 105-122. doi: 10.1023/A:1024561429664
Thompson, H. B. and Tisdell, C. (2002). Boundary value problems for systems of difference equations associated with systems of second-order ordinary differential equations. Applied Mathematics Letters, 15 (6), 761-766. doi: 10.1016/S0893-9659(02)00039-3
Wu, XA, Thompson, B and Yuan, GX (2002). Fixed point theorems of upper semicontinuous multivalued mappings with applications in hyperconvex metric spaces. Journal of Mathematical Analysis And Applications, 276 (1), 80-89. doi: 10.1016/S0022-247X(02)00360-8
Henderson, J and Thompson, HB (2002). Existence of multiple solutions for second-order discrete boundary value problems. Computers & Mathematics With Applications, 43 (10-11), 1239-1248. doi: 10.1016/S0898-1221(02)00095-0
Thompson, H. B. and Tisdell, C. (2001). Three-point boundary value problems for second-order, ordinary, differential equations. Mathematical And Computer Modelling, 34 (3-4), 311-318. doi: 10.1016/S0895-7177(01)00063-2
Thompson, H. B. and Cui, Y. (2001). The fixed point property in Musielak-Orlicz sequence spaces. Commentationes Mathematicae Universitatis Carolinae, 42 (2), 299-309.
Thompson, HB (2001). Topological methods for some boundary value problems. Computers & Mathematics With Applications, 42 (3-5), 487-495. doi: 10.1016/S0898-1221(01)00172-9
Henderson, Johnny and Thompson, H. B. (2001). Difference equations associated with fully nonlinear boundary value problems for second order ordinary differential equations. Journal of Difference Equations and Applications, 7 (2), 297-321. doi: 10.1080/10236190108808274
Drabek, P., Thompson, H.B. and Tisdell, C. C. (2001). Multipoint boundary value problems for discrete equations. Commentationes Mathematicae Universitatis Carolinae, 42 (3), 459-468.
Henderson, J and Thompson, H. B. (2000). Existence of Multiple Solutions for Second Order Boundary Value Problems. Journal of Differential Equations, 166 (2), 443-454. doi: 10.1006/jdeq.2000.3797
Henderson, Johnny, Thompson, H. B. and Smith, Hal L. (2000). Multiple symmetric positive solutions for a second order boundary value problem. Proceedings of the American Mathematical Society, 128 (8), 2373-2379. doi: 10.1090/S0002-9939-00-05644-6
Thompson, H. B. (2000). Subfunctions for second order ordinary differential equations. Applicable Analysis, 74 (1-2), 27-43. doi: 10.1080/00036810008840801
Thompson, H. B. and Tisdell, C. (2000). Systems of difference equations associated with boundary value problems for second order differential equations. Journal of Mathematical Analysis and Applications, 248 (2), 333-347. doi: 10.1006/jmaa.2000.6823
Eloe, P. W., Henderson, J. and Thompson, H. B. (2000). Extremal points for impulsive Lidstone boundary value problems. Mathematical and Computer Modelling, 32 (5-6), 687-689. doi: 10.1016/S0895-7177(00)00165-5
Henderson, J. and Thompson, H. B. (2000). Existence of multiple solutions for some n-th order boundary value problems. Communications on Applied Nonlinear Analysis, 7 (1), 55-62.
Baxley, John V. and Thompson, H. B. (2000). Boundary behavior and computation of solutions of singular nonlinear boundary value problems. Communications in Applied Analysis, 4 (2), 207-226.
Thompson, H. B. and Tisdell, C. C. (1999). Nonlinear multipoint boundary value problems for weakly coupled systems. Bulletin of the Australian Mathematical Society, 60 (1), 45-54. doi: 10.1017/S0004972700033311
Chang, Shih-Sen, Thompson, H. B. and Yuan, G. X. -Z (1999). Existence theorems of solutions for generalized vector valued variational-like inequalities. An International Journal Computers & Mathematics with Applications, 37 (7), 1-9. doi: 10.1016/S0898-1221(99)00082-6
Thompson, HB (1997). Systems of differential equations with fully nonlinear boundary conditions. Bulletin of the Australian Mathematical Society, 56 (2), 197-208. doi: 10.1017/S0004972700030926
Thompson, HB (1996). Boundary value problems for systems of differential equations. Bulletin of the Australian Mathematical Society, 54 (3), 397-410. doi: 10.1017/S000497270002181X
Henderson, J and Thompson, HB (1996). Smoothness of solutions for boundary value problems with impulse effects .2.. Mathematical and Computer Modelling, 23 (10), 61-69. doi: 10.1016/0895-7177(96)00054-4
Thompson, H. B. (1996). Second order ordinary differential equations with fully nonlinear two point boundary conditions. Pacific Journal of Mathematics, 172 (1), 255-277. doi: 10.2140/pjm.1996.172.255
Thompson, H. B. (1996). Second order ordinary differential equations with fully nonlinear two point boundary conditions .2.. Pacific Journal of Mathematics, 172 (1), 279-297. doi: 10.2140/pjm.1996.172.279
Thompson, B and Yuan, XZ (1996). Topological intersection theorems for two set-valued mappings and applications to minimax inequalities. Numerical Functional Analysis and Optimization, 17 (3-4), 437-452. doi: 10.1080/01630569608816703
Hardy, G and Thompson, HB (1995). An Imbedding Theorem for Anisotropic Orlicz-Sobolev Spaces. Bulletin of the Australian Mathematical Society, 51 (3), 463-467. doi: 10.1017/S0004972700014295
Hardy, G and Thompson, HB (1994). Continuity of the Superposition Operator On Orlicz-Sobolev Spaces. Bulletin of the Australian Mathematical Society, 50 (1), 59-72. doi: 10.1017/S0004972700009576
Baxley, JV and Thompson, HB (1994). Nonlinear Boundary-Value-Problems and Competition in the Chemostat. Nonlinear Analysis-Theory Methods & Applications, 22 (11), 1329-1344. doi: 10.1016/0362-546X(94)90115-5
Thompson, HB (1994). Existence for 2-Point Boundary-Value-Problems in 2 Ion Electrodiffusion. Journal of Mathematical Analysis and Applications, 184 (1), 82-94. doi: 10.1006/jmaa.1994.1185
Morris, SA, Oateswilliams, S and Thompson, HB (1990). Locally Compact-Groups with Every Closed Subgroup of Finite Index. Bulletin of the London Mathematical Society, 22 (4), 359-361. doi: 10.1112/blms/22.4.359
Thompson, H. B. (1989). Differentiability Properties of Subfunctions for 2Nd Order Ordinary Differential-Equations. Pacific Journal of Mathematics, 140 (1), 181-207. doi: 10.2140/pjm.1989.140.181
Morris, SA and Thompson, HB (1988). Sequential Conditions and Free-Products of Topological-Groups. Proceedings of the American Mathematical Society, 103 (2), 633-638. doi: 10.2307/2047191
Thompson, HB (1988). Existence for a 2 Point Boundary-Value Problem Arising in Electrodiffusion. Acta Mathematica Scientia, 8 (4), 373-387. doi: 10.1016/s0252-9602(18)30314-x
Morris, SA and Thompson, HB (1986). Metrizability of Subgroups of Free Topological-Groups. Bulletin of the Australian Mathematical Society, 33 (1), 103-112. doi: 10.1017/S0004972700002926
Chabrowski, J and Thompson, B (1981). On the Behavior Near the Boundary of Solutions of a Semi-Linear Partial-Differential Equation of Elliptic Type. Journal of the Australian Mathematical Society Series A-Pure Mathematics and Statistics, 31 (DEC), 405-414.
Hardy, Jpl, Morris, SA and Thompson, HB (1976). Applications of Stone-Cech Compactification to Free Topological Groups. Proceedings of the American Mathematical Society, 55 (1), 160-164. doi: 10.2307/2041864
Morris, SA and Thompson, HB (1974). Free Topological Groups with No Small Subgroups. Proceedings of the American Mathematical Society, 46 (3), 431-437. doi: 10.2307/2039942
Conference Papers
Wang, Qian, Donovan, Diane, Thompson, Bevan, Rodger, Iain, Zhou, Fengde, Su, Xianbo and Yazici, Emine Şule (2019). Impacting factors on horizontal coal seam gas well production and proxy model comparison. SPE/AAPG/SEG Asia Pacific Unconventional Resources Technology Conference, Brisbane, QLD Australia, 18-19 November. Brisbane, QLD Australia: Unconventional Resources Technology Conference (URTEC). doi: 10.15530/AP-URTEC-2019-198251
Burrage, Kevin, Burrage, Pamela, Donovan, Diane and Thompson, Bevan (2015). Populations of models, experimental designs and coverage of parameter space by Latin Hypercube and Orthogonal sampling. International Conference On Computational Science, ICCS 2015, Reykjavik, Iceland, 1-3 June 2015. Amsterdam, Netherlands: Elsevier. doi: 10.1016/j.procs.2015.05.383
Donovan, Diane, Loch, Birgit, Thompson, H. B and Thompson, Jayne (2008). Change detection through clustering and spectral analysis.. 18th International Workshop on Combinatorial Algorithms (IWOCA 2007), Newcastle, NSW, Australia, 5-9 November 2007. London, United Kingdom: College Publishing.
Donovan, D. M., Loch, B., Thompson, H. B. and Thompson, J. (2007). Change detection through clustering and spectral analysis. 18th International Workshop on Combinatorial Algorithms 2007, Lake MacQuarrie, New South Wales, 5-9 November, 2007. Newcastle, New South Wales: Newcastle University.
Vladimirov, I G, Donovan, D M and Thompson, H B (2006). Gibbs equilibrium in interacting particle systems with coordination constrained bonding on Bethe lattices. AWOCA 2006, Uluru & Kings Canyon, Central Austraila, July 13 - 19 2006. Australia: Ballarat University.
Thompson, Bevan and Vladimirov, Igor (2005). Bayesian parameter estimation and prediction in mean reverting stochastic diffusion models. OXFORD: PERGAMON-ELSEVIER SCIENCE LTD. doi: 10.1016/j.na.2005.02.095
Cui, YN and Thompson, HB (2000). On some geometric properties in Musielak-Orlicz sequence spaces. Function Spaces V, Poznan, Poland, 1999. New York: Dekker.
Thesis
Thompson, Harold Bevan (1973). Some existence problems in differential equations approached through functional analysis. PhD Thesis, School of Physical Sciences, The University of Queensland. doi: 10.14264/uql.2015.485