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My research areas include dynamic equations and inequalities on time scales, differential equations,
difference equations, q-difference equations, discrete dynamical systems, integral inequalities, and boundary
value problems. PDF versions of some of my papers are available below; my co-authors and student co-inquirers
are listed in the left-hand column.
Journal publications and coauthored papers of Douglas R. Anderson
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| 59. |
Existence of solutions for a first-order p-Laplacian bvp on time scales,
Nonlinear Analysis, doi: 10.1016/j.na.2007.11.008
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| 58. |
Young's integral inequality on time scales revisited,
Journal of Inequalities in Pure and Applied Mathematics, Volume 8 (2007), Issue 3, Article 64, 5 pages.
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| 57. |
with Jo Hoffacker,
Existence of solutions to a third-order multi-point problem on time scales,
Electronic Journal of Differential Equations, Vol. 2007(2007), No. 107, pp. 1–15.
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| 56. |
with Zeqing Liu, Jeong Sheok Ume, and Shin Min Kang,
Twin monotone positive solutions to a singular nonlinear third-order differential equation,
Journal of Mathematical Analysis and Applications, 334 (2007) 299–313.
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| 55. |
with Lisa Moats '10,
q-Dominant and q-recessive matrix solutions for linear quantum systems,
Electronic Journal of Qualitative Theory of Differential Equations, 2007 No. 11, 1–29.
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| 54. |
Oscillation of second-order forced functional dynamic equations with oscillatory potentials,
Journal of Difference Equations and Applications, 13:5 (2007) 407–421.
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| 53. |
with Bobbi Buchholz,
Self-adjoint matrix equations on time scales,
PanAmerican Mathematical Journal, 17:2 (2007) 81–104.
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| 52. |
with Irena Rachunková and Chris Tisdell,
Solvability of discrete Neumann boundary value problems,
Journal of Mathematical Analysis and Applications, 331 (2007) 736–741.
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| 51. |
with Chris Tisdell,
Third-order nonlocal problems with sign-changing nonlinearity on time scales,
Electronic Journal of Differential Equations, 2007 (2007), No. 19, 1–12.
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| 50. |
with Zackary Kenz '08,
Global asymptotic behavior for delay dynamic equations,
Nonlinear Analysis, 66 (2007) 1633–1644.
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| 49. |
Boundedness and vanishing of solutions for a forced delay dynamic equation,
Advances in Difference Equations, 2006 (2006), Article ID 35063, 17 pages.
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| 48. |
Second-order n-point problems on time scales with changing-sign nonlinearity,
Advances in Dynamical Systems and Applications, 1:1 (2006) 17–27.
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| 47. |
with Alberto Cabada,
Third-order right-focal multi-point problems on time scales,
Journal of Difference Equations and Applications, 12:9 (2006) 919–935.
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| 46. |
with Joan Hoffacker,
Existence of solutions for a cantilever beam problem,
Journal of Mathematical Analysis and Applications, 323 (2006) 958–973.
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| 45. |
Asymptotic behavior of solutions for neutral delay dynamic equations on time scales,
Advances in Difference Equations, 2006:80850 (2006) 1–11.
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| 44. |
with Ruyun Ma,
Second-order n-point eigenvalue problems on time scales,
Advances in Difference Equations, 2006:59572 (2006) 1–17.
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| 43. |
with Gusein Guseinov and Jo Hoffacker,
Higher-order self adjoint boundary value problems on time scales,
Journal of Computational and Applied Mathematics 194:2 (2006) 309–342.
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| 42. |
with Richard Avery,
A fourth-order four-point right-focal boundary value problem,
Rocky Mountain Journal of Mathematics 36:2 (2006) 367–380.
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| 41. |
with Robert Krueger and Allan Peterson,
Delay dynamic equations with stability,
Advances in Difference Equations 2006:94051 (2006) 1–19.
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| 40. |
with Joan Hoffacker,
Positive periodic time-scale solutions for functional dynamic equations,
Australian Journal of Mathematical Analysis and Applications 3:1:5 (2006) 1–14.
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| 39. |
with Tyler O. Anderson '06 and Mathew M. Kleber '06,
Green's function and existence of solutions for a functional focal differential equation,
Electronic Journal of Differential Equations 2006:12 (2006) 1–14.
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| 38. |
with Richard Avery and Robert Krueger,
An extension of the fixed point theorem of cone expansion and compression of functional type,
Communications on Applied Nonlinear Analysis 13:1 (2006) 15–26.
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| 37. |
Existence of solutions for nonlinear multi-point problems on time scales,
Dynamic Systems and Applications 15 (2006) 21–34.
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| 36. |
with Nicholas Myran '05 and Dustin White '05,
Basins of attraction in a Cournot duopoly model of Kopel,
Journal of Difference Equations and Applications 11:10 (2005) 879–887.
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| 35. |
Time-scale integral inequalities,
Journal of Inequalities in Pure and Applied Mathematics 6:3:66 (2005) 1–17.
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| 34. |
Eigenvalue intervals for even-order Sturm-Liouville dynamic equations,
Communications on Applied Nonlinear Analysis 12:4 (2005) 1–13.
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| 33. |
with Joan Hoffacker,
Even-order self-adjoint time-scale problems,
Electronic Journal of Differetial Equations 2005:24 (2005) 1–9.
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| 32. |
Multiple periodic solutions for a second-order problem on periodic time scales,
Nonlinear Analysis TMA 60:1 (2005) 101–115.
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| 31. |
Twin n-point boundary value problems,
Applied Mathematics Letters 17:9 (2004) 1053–1059.
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| 30. |
with Richard Avery and Johnny Henderson,
Existence of solutions for a one-dimensional p-Laplacian on time scales,
Journal of Difference Equations and Applications 10:10 (2004) 889–896.
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| 29. |
Nonlinear triple-point problems on time scales,
Electronic Journal of Differential Equations 2004:47 (2004) 1–12.
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| 28. |
with Richard Avery,
An even-order three-point boundary value problem on time scales,
Journal of Mathematical Analysis and Applications 291:2 (2004) 514–525.
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| 27. |
Extension of a second-order multi-point problem to time scales,
Dynamic Systems and Applications 12:3–4 (2003) 393–404.
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| 26. |
with Joan Hoffacker,
A stacked delta-nabla self-adjoint problem of even order,
Mathematical and Computer Modelling 38 (2003) 481–494.
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| 25. |
Kamenev-type oscillation criteria for linear Hamiltonian systems,
PanAmerican Mathematical Journal 13:4 (2003) 71–75.
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| 24. |
Green's function for a third-order generalized right focal problem,
Journal of Mathematical Analysis and Applications 288:1 (2003) 1–14.
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| 23. |
Discrete third-order three-point right focal boundary value problems,
Computers & Mathematics with Applications 45 (2003) 861–871.
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| 22. |
with Richard Avery and John Davis,
Existence and uniqueness of solutions to discrete diffusion equations,
Computers & Mathematics with Applications 45 (2003) 1075–1085.
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| 21. |
Existence of a solution to a higher-order discrete three-point problem,
Electronic Journal of Differential Equations 2003:40 (2003) 1–7.
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| 20. |
with John Bullock '02, Lynn Erbe, Allan Peterson, and Hoi Nam Tran,
Nabla dynamic equations on time scales,
PanAmerican Mathematical Journal 13:1 (2003) 1–47.
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| 19. |
with Joan Hoffacker,
Green's function for an even-order mixed derivative problem on time scales,
Dynamic Systems and Applications 12:1–2 (2003) 9–22.
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| 18. |
A fourth-order nonlinear difference equation,
Journal of Difference Equations and Applications 9:1 (2003) 161–169.
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| 17. |
Taylor polynomials for nabla dynamic equations on time scales,
PanAmerican Mathematical Journal 12:4 (2002) 17–27.
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| 16. |
with Richard Avery,
Fixed point theorem of cone expansion and compression of functional type,
Journal of Difference Equations and Applications 8:11 (2002) 1073–1083.
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| 15. |
Eigenvalue intervals for a second-order mixed-conditions problem on time scales,
International Journal of Nonlinear Differential Equations 7:1–2 (2002) 97–104.
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| 14. |
Solutions to second-order three-point problems on time scales,
Journal of Difference Equations and Applications 8:8 (2002) 673–688.
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| 13. |
with John Davis,
Multiple solutions and eigenvalues for a third-order right focal boundary value problem,
Journal of Mathematical Analysis and Applications 267:1 (2002) 135–157.
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| 12. |
with Richard Avery,
Existence of three positive solutions to a second-order boundary value problem on a measure chain,
Journal of Computational and Applied Mathematics 141: 1–2 (2002) 65–73.
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| 11. |
Eigenvalue intervals for a two-point boundary value problem on a measure chain,
Journal of Computational and Applied Mathematics 141:1–2 (2002) 57–64.
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| 10. |
with Richard Avery and Johnny Henderson,
Corollary to the five functionals fixed point theorem,
Journal of Nonlinear Studies 8:4 (2001) 451–464.
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| 9. |
with Richard Avery,
Multiple positive solutions to a third order discrete focal boundary value problem,
Computers & Mathematics with Applications 42 (2001) 333–340.
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| 8. |
with Allan Peterson,
Asymptotic properties of solutions of a 2n-order differential equation on a time scale,
Mathematical and Computer Modelling 32 (2000) 653–660.
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| 7. |
Positivity of Green's function for an n-point right focal boundary value problem on measure chains,
Mathematical and Computer Modelling 31 (2000) 29–50.
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| 6. |
Normalized prepared bases for discrete symplectic matrix systems,
Dynamic Systems and Applications 8 (1999) 335–344.
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| 5. |
A 2nth-order linear difference equation,
Communications in Applied Analysis 2:4 (1998) 521–529.
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| 4. |
Multiple positive solutions for a three-point boundary value problem,
Mathematical and Computer Modelling 27:6 (1998) 49–57.
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| 3. |
Green's function for an n-point discrete right focal boundary value problem,
PanAmerican Mathematical Journal 8:2 (1998) 45–70.
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| 2. |
with Richard Avery and Allan Peterson,
Three positive solutions to a discrete focal boundary value problem,
Journal of Computational and Applied Mathematics 88:1 (1998) 103–118.
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| 1. |
Discrete trigonometric matrix functions,
PanAmerican Mathematical Journal 7:1 (1997) 39–54.
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