H. Bevan Thompson

Bevan Thompson holds a Ph.D. degree in differential equations from the University of Queensland. He has published in areas ranging from stochastic modeling, nonlinear analysis, Sobolev space theory, and elliptic partial differential equations to boundary value problems for ordinary differential equations.

Biography Updated on 17 March 2008

Articles in Scholarly Journals [Incomplete List]

  1. Nodal solutions for a nonlinear fourth-order eigenvalue problem
    Acta Mathematica Sinica, English Series, vol. 24, no. 1, pp. 27–34, 2008
  2. Weakly coupled oscillators and topological degree
    Bulletin des Sciences Mathématiques, vol. 131, no. 6, pp. 559–571, 2007
  3. Periodic solutions of second order nonlinear difference equations with discrete ϕ-Laplacian
    Journal of Mathematical Analysis and Applications, vol. 330, no. 2, pp. 1002–1015, 2007
  4. Maximum principles for second order dynamic equations on time scales
    Journal of Mathematical Analysis and Applications, vol. 331, no. 2, pp. 913–926, 2007
  5. Generalized vector FF-variational inequalities and vector FF-complementarity problems for point-to-set mappings?
    Mathematical and Computer Modelling, 2007
  6. Stability of the equator map for the Hessian energy
    Proceedings of the American Mathematical Society, vol. 135, no. 10, pp. 3163–3171, 2007
  7. A scalarization technique for computing the power and exponential moments of Gaussian random matrices
    Journal of Applied Mathematics and Stochastic Analysis, vol. 2006, Article ID 42542, 20 pages, 2006
  8. Stability for parametric implicit vector equilibrium problems?
    Mathematical and Computer Modelling, vol. 43, no. 11-12, pp. 1267–1274, 2006
  9. Henstock–Kurzweil delta and nabla integrals?
    Journal of Mathematical Analysis and Applications, vol. 323, no. 1, pp. 162–178, 2006
  10. Global behavior of positive solutions of nonlinear three-point boundary value problems
    Nonlinear Analysis, vol. 60, no. 4, pp. 685–701, 2005
  11. Generalized variational-like inequalities for pseudomonotone type II operators?
    Nonlinear Analysis, vol. 63, no. 5-7, pp. e321–e330, 2005
  12. Bayesian parameter estimation and prediction in mean reverting stochastic diffusion models
    Nonlinear Analysis, vol. 63, no. 5-7, pp. e2367–e2375, 2005
  13. A note on bifurcation from an interval
    Nonlinear Analysis, vol. 62, no. 4, pp. 743–749, 2005
  14. A new system of variational inclusions with ()-monotone operators in hilbert spaces
    Computers & Mathematics with Applications, vol. 49, no. 2-3, pp. 365–374, 2005
  15. Multiplicity results for second-order two-point boundary value problems with nonlinearities across several eigenvalues
    Applied Mathematics Letters, vol. 18, no. 5, pp. 587–595, 2005
  16. Multiplicity results for second-order two-point boundary value problems with superlinear or sublinear nonlinearities
    Journal of Mathematical Analysis and Applications, vol. 303, no. 2, pp. 726–735, 2005
  17. Positive solutions for nonlinear m-point eigenvalue problems
    Journal of Mathematical Analysis and Applications, vol. 297, no. 1, pp. 24–37, 2004
  18. Nodal solutions for nonlinear eigenvalue problems
    Nonlinear Analysis, vol. 59, no. 5, pp. 707–718, 2004
  19. Uniqueness for Boundary Value Problems for Second Order Finite Difference Equations
    The Journal of Difference Equations and Applications, vol. 10, no. 8, pp. 749–757, 2004
  20. Acta Mathematica Hungarica, vol. 99, no. 1/2, pp. 105–122, 2003
  21. Periodic or Bounded Solutions of Carathéodory Systems of Ordinary Differential Equations
    Journal of Dynamics and Differential Equations, vol. 15, no. 2/3, pp. 327–334, 2003
  22. Existence of multiple solutions for finite difference approximations to second-order boundary value problems
    Nonlinear Analysis, vol. 53, no. 1, pp. 97–110, 2003
  23. The nonexistence of spurious solutions to discrete, two-point boundary value problems
    Applied Mathematics Letters, vol. 16, no. 1, pp. 79–84, 2003
  24. Implicit vector equilibrium problems with applications*1
    Mathematical and Computer Modelling, vol. 37, no. 12-13, pp. 1343–1356, 2003
  25. Three-point boundary value problems for second-order discrete equations
    Computers & Mathematics with Applications, vol. 45, no. 6-9, pp. 1429–1435, 2003
  26. Difference equations in Banach spaces
    Computers & Mathematics with Applications, vol. 45, no. 6-9, pp. 1437–1444, 2003
  27. Quasiequilibrium problem in H-spaces*1
    Computers & Mathematics with Applications, vol. 45, no. 10-11, pp. 1629–1636, 2003
  28. Boundary value problems for systems of difference equations associated with systems of second-order ordinary differential equations
    Applied Mathematics Letters, vol. 15, no. 6, pp. 761–766, 2002
  29. Fixed point theorems of upper semicontinuous multivalued mappings with applications in hyperconvex metric spaces
    Journal of Mathematical Analysis and Applications, vol. 276, no. 1, pp. 80–89, 2002
  30. Existence of multiple solutions for second-order discrete boundary value problems
    Computers & Mathematics with Applications, vol. 43, no. 10-11, pp. 1239–1248, 2002
  31. Three-point boundary value problems for second-order, ordinary, differential equations
    Mathematical and Computer Modelling, vol. 34, no. 3-4, pp. 311–318, 2001
  32. Difference equations associated with fully nonlinear boundary value problems for second order ordinary differential equations
    Journal of Difference Equations and Applications, vol. 7, no. 2, pp. 297–321, 2001
  33. Topological methods for some boundary value problems
    Computers & Mathematics with Applications, vol. 42, no. 3-5, pp. 487–495, 2001
  34. Extremal points for impulsive Lidstone boundary value problems
    Mathematical and Computer Modelling, vol. 32, no. 5-6, pp. 687–698, 2000
  35. Existence of Multiple Solutions for Second Order Boundary Value Problems
    Journal of Differential Equations, vol. 166, no. 2, pp. 443–454, 2000
  36. Systems of Difference Equations Associated with Boundary Value Problems for Second Order Systems of Ordinary Differential Equations
    Journal of Mathematical Analysis and Applications, vol. 248, no. 2, pp. 333–347, 2000
  37. Proceedings of the American Mathematical Society, vol. 128, no. 08, pp. 2373–2380, 2000
  38. Subfunctions for second order ordinary differential equations
    Applicable Analysis, vol. 74, no. 1, pp. 27–43, 2000
  39. The existence theorems of solutions for generalized vector-valued variational-like inequalities
    Computers & Mathematics with Applications, vol. 37, no. 7, pp. 1–9, 1999
  40. Substitution elasticities with many inputs
    Applied Mathematics Letters, vol. 10, no. 3, pp. 123–127, 1997
  41. Smoothness of solutions for boundary value problems with impulse effects, II
    Mathematical and Computer Modelling, vol. 23, no. 10, pp. 61–69, 1996
  42. Topological intersection theorems for two set - valued mappings and applications to minimax inequalities
    Numerical Functional Analysis and Optimization, vol. 17, no. 3, pp. 437–452, 1996
  43. Fiber optic sensors advance chemical analysis from afar
    IEEE Circuits and Devices Magazine, vol. 10, no. 3, pp. 14–21, 1994
  44. Nonlinear boundary value problems and competition in the chemostat
    Nonlinear Analysis, vol. 22, no. 11, pp. 1329–1344, 1994
  45. Existence for 2-Point Boundary Value Problems in Two Ion Electrodiffusion
    Journal of Mathematical Analysis and Applications, vol. 184, no. 1, pp. 82–94, 1994
  46. Locally Compact Groups with every Closed Subgroup of Finite Index
    Bulletin of the London Mathematical Society, vol. 22, no. 4, pp. 359–361, 1990
  47. Taylor's Theorem Using the Generalized Riemann Integral
    The American Mathematical Monthly, vol. 96, no. 4, p. 346, 1989
  48. Eigenvalue estimates and existence for a generalised Graetz problem
    Journal of Mathematical Analysis and Applications, vol. 141, no. 1, pp. 152–163, 1989
  49. Singular and quasi-bounded functions associated with the heat equation
    Mathematische Zeitschrift, vol. 199, no. 1, pp. 81–98, 1988
  50. Sequential Conditions and Free Products of Topological Groups
    Proceedings of the American Mathematical Society, vol. 103, no. 2, p. 633, 1988
  51. Bifurcation for the solutions of equations involving set valued mappings
    International Journal of Mathematics and Mathematical Sciences, vol. 8, no. 1, pp. 37–48, 1985
  52. Applications of the Stone-Cech Compactification to Free Topological Groups
    Proceedings of the American Mathematical Society, vol. 55, no. 1, p. 160, 1976
  53. Free Topological Groups with no Small Subgroups
    Proceedings of the American Mathematical Society, vol. 46, no. 3, p. 431, 1974