Publications by Bevan
Thompson since 2002
C
Bereanu and H.B. Thompson, Periodic solutions of second order nonlinear
difference equations with discrete φ-Laplacian, J. Math. Anal.
Appl. 330, No 2, (2007) 1002-1015.
Min-Chun Hong and Bevan Thompson, Stability of the equator map for the Hessian Energy, Proc. Amer. Math. Soc. 135 (2007), 3163-3170.
P.
Stehlik and H.B. Thompson, Maximum principles for second order dynamic
equations on time scales, J. Math. Anal. Appl. 331, No 2, (2007) 913-926.
Allan C.
Peterson and H.B. Thompson, Henstock--Kurzweil delta and nabla integrals,
J. Math.
Anal. Appl. 323, No
1, (2006) 162-178.
M. Feckan, H.B. Thompson and R. Ma, Forced Symmetric Oscillations, Bull. Belgian Math. Soc., 14 No 1 (2007), 73-85.
Feckan, M., Thompson, HB,
and Ma, R, Weakly coupled oscillators and topological degree, Bulletin
des Sciences Mathématiqué, Bull. Sci.
math. 131 (2007) 559–571.
R.P. Agarwal, H.B.Thompson and C.C. Tisdell, On the Existence of Multiple Solutions to Boundary Value Problems For Second Order, Ordinary, Differential Equations, Dynam. Systems Appl., 16 (2007) 595-609.
Igor Vladimirov, Diane
Donovan and Bevan Thompson, Gibbs equilibrium in interacting particle
systems with coordination constrained bonding on Bethe lattices,
Proceedings of the Seventeenth Australasian Workshop on Combinatorial
Algorithms (AWOCA2006), Ayres Rock July 16 -19, 2006,
Igor Vladimirov and H.B.
Thompson, Bayesian forecasting in univariate autoregressive models with
normal-gamma prior distribution of unknown parameters, Proceedings of the
Conference on Differential and Difference Equations and Applications, 1099-1108,
Eds RP Agarwal and K Perera, Hindawi Publishing, New York 2006.
Igor
Vladimirov and H.B. Thompson, A scalarization technique for computing the
power and exponential moments of Gaussian random matrices, J. Appl. Math. Stochastic Analysis, 2006
(2006), Article ID 42542.
R. Ma and H.B.Thompson, Solvability
of Singular Second Order m-Point Boundary Value Problems of Dirichlet Type,
Bull. Austral. Math. Soc. 71(2005),
No. 1, 41-52.
R. Ma and H.B. Thompson, Global
behavior of positive solutions of nonlinear three point boundary value problems,
Nonlinear Anal., 60 (2005) pp. 685-701.
H.B. Thompson and I.
Vladimirov, Bayesian parameter estimation and prediction in mean reverting
stochastic diffusion models, Nonlinear Analysis 63 (2005),
2367-2375.
C.C. Tisdell
and H.B.Thompson, On the Existence of Solutions to Boundary Value Problems
on Time Scales, Dynam. Contin. Discrete
Impuls. Systems Ser. A Math.
Anal. 12 (2005), No.
5, 595--606.
Ya-ping Fang, Nan Jing Huang
and H B. Thompson, A New System of Variational Inclusions for H-Monotone
Operators in Hilbert Space, Comput. Math. Appl., 9 (2005) No. 2-3, 365-74.
Ma, Ruyun; Thompson, Bevan Multiplicity results for second-order two-point boundary value problems with superlinear or sublinear nonlinearities.
J. Math. Anal. Appl. 303 (2005), no. 2, 726—735.
A.S. Makin and H.B.
Thompson, Convergence of eigenfunction expansions connected with nonlinear Sturm-Liouville operators,
Electronic Journal of Differential Equations, 2004 (2004), No. 87, 10 pp.
R. Ma and H.B. Thompson, Positive
solutions for nonlinear m-point eigenvalue problems, J. Math. Anal. Appl. 297 (2004), 24-37.
R. Ma and H.B. Thompson, Nodal
solutions for nonlinear eigenvalue problems, Nonlinear Anal. 59(2004), 707-718.
Chowdhury, Mohammad S. R.
Haque, Abul L, Thompson, H. B. Quasem, G. M. A., The surjectivity of
pseudo-monotone type III operators in reflexive Banach spaces, Nonlinear
Funct. Anal. Appl. 9(2004), No. 1,
37--44.
A.S. Makin and H.B.
Thompson, On a property of solutions of the
Schrodinger equation, Electronic Journal of Differential Equations, 2004
(2004), No. 34, 1 – 8.
Mawhin, Jean, and Thompson,
H.B., Existence of periodioc solutions for first order systems of Ordinary
Differential Equations, J. Dynam.Differential Equations, 15 (2003) No. 2-3,
327--334.
Mawhin, Jean, and Thompson,
H.B., and Tonkes, Elliot, Uniqueness for boundary value problems for second
order finite difference equations, J. Differ. Equations Appl.
10 (2004), No. 8, 749--757.
Agarwal, R.P., Thompson,
H.B., and Tisdell, Difference Equations in Banach Space, Comput. Math. Appl., 45 (2003), 1437-1444
Agarwal, R.P., Thompson,
H.B., and Tisdell, C.C., On Three Point Boundary Value Problems for Second-
Order Discrete Equations, Comput. Math. Appl., 45
(2003), 1429-1435.
Thompson, H.B., Existence of
Multiple Solutions for Finite Difference Approximations to Second Order
Boundary Value Problems. Nonlinear Analysis Nonlinear Anal.
53 (2003), No. 1, 97--110.
Wu, Xian, Thompson, Bevan,
and Yuan, George Xian-Zhi,
Quasi-equilibrium problem in H-spaces Int. J of Compt &
Applied Mathematics, 45 (2003), 1629-1636.
Thompson, H. B. and Tisdell,
C. C., The nonexistence of spurious solutions to discrete, two-point boundary
value problems. Appl. Math. Lett. 16
(2003), No. 1, 79--84. Chowdhury, Mohammad S.R., Tarafdar, E., and
Thompson, H.B., Non-Compact generalized variational inequalities for quasi-monotone, and hemi-continuous operators with
applications, Acta Math. Hungarica, 99 (1-2), (2003) 81—98
Huang, Nan
Jing, Li, Jun, and Thompson, H. B. Implicit vector equilibrium problems with
applications. Math. Comput.
Modelling 37 (2003), No. 12-13, 1343--356.
Wu, Xian , Thompson, Bevan ,
and Yuan, George Xian-Zhi, On Continuous
Selection Problem of Multivalued Mappings with
the Local Intersection Property in Hyperconvex Metric Spaces, J. Applied
Analysis, 9 No 2 (2003), 249-260.
Thompson, H.B. and Tisdell,
C.C, Boundary Value Problems for Systems of Difference equations Associated
With Systems of Second Order Ordinary Differential Equations, Appl. Math. Lett. 15 (2002), No. 6, 761--766.
Wu, Xian, Thompson, Bevan, and Yuan, George X., Fixed Point Theorems of Upper Semicontinuous Multi-valued Mappings with Applications in Hyperconvex Metric spaces, J. Math. Anal. Appl. 276 (2002), No. 1, 80—89.