Singular second-order multipoint dynamic boundary value problems with mixed derivatives

Advances in Difference Equations

Volumn 2006, Issue , 2006, Pages

  Bohner, Martin ^a   Luo, Hua ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749546465     PISSN: 16871839     EISSN: 16871847     Source Type: Journal    
DOI: 10.1155/ADE/2006/54989     Document Type: Article

References (22)

1. R. P. Agarwal D. O'Regan Some new results for singular problems with sign changing nonlinearities Journal of Computational and Applied Mathematics 113 2000 1-2 1-15
2. C. D. Ahlbrandt C. Morian Partial differential equations on time scales Journal of Computational and Applied Mathematics 141 2002 1-2 35-55 Special issue on Dynamic Equations on Time Scales, edited by R. P. Agarwal, M. Bohner, and D. O'Regan
3. D. R. Anderson R. I. Avery An even-order three-point boundary value problem on time scales Journal of Mathematical Analysis and Applications 291 2004 2 514-525
4. H. Asakawa Nonresonant singular two-point boundary value problems Nonlinear Analysis Series A: Theory and Methods 44 2001 6 791-809
5. F. M. Atici G. Sh. Guseinov On Green's functions and positive solutions for boundary value problems on time scales Journal of Computational and Applied Mathematics 141 2002 1-2 75-99 Special issue on Dynamic Equations on Time Scales, edited by R. P. Agarwal, M. Bohner, and D. O'Regan
6. M. Bohner A. Peterson Dynamic Equations on Time Scales. An Introduction with Applications Birkhäuser Boston Massachusetts 2001 x+358
7. M. Bohner A. Peterson Advances in Dynamic Equations on Time Scales Birkhäuser Boston Massachusetts 2003 xii+348
8. J. J. DaCunha J. M. Davis P. K. Singh Existence results for singular three point boundary value problems on time scales Journal of Mathematical Analysis and Applications 295 2004 2 378-391
9. C. P. Gupta S. K. Ntouyas P. Ch. Tsamatos Solvability of an m-point boundary value problem for second order ordinary differential equations Journal of Mathematical Analysis and Applications 189 1995 2 575-584
10. Z. He Existence of two solutions of m-point boundary value problem for second order dynamic equations on time scales Journal of Mathematical Analysis and Applications 296 2004 1 97-109
11. J. Henderson E. R. Kaufmann Focal boundary value problems for singular difference equations Computers & Mathematics with Applications 36 1998 10-12 1-10
12. J. Henderson W. Yin Focal boundary-value problems for singular ordinary differential equations Advances in Nonlinear Dynamics Stability Control Theory Methods Appl. 5 283-295 Gordon and Breach Amsterdam 1997
13. S. Hilger Analysis on measure chains - a unified approach to continuous and discrete calculus Results in Mathematics 18 1990 1-2 18-56
14. R. Ma Existence of positive solutions for superlinear semipositone m-point boundary-value problems Proceedings of the Edinburgh Mathematical Society. Series II 46 2003 2 279-292
15. R. Ma H. Luo Existence of solutions for a two-point boundary value problem on time scales Applied Mathematics and Computation 150 2004 1 139-147
16. R. Ma D. O'Regan Solvability of singular second order m-point boundary value problems Journal of Mathematical Analysis and Applications 301 2005 1 124-134
17. J. Mawhin Topological Degree Methods in Nonlinear Boundary Value Problems CBMS Regional Conference Series in Mathematics 40 American Mathematical Society Rhode Island 1979 v+122
18. D. O'Regan Theory of Singular Boundary Value Problems World Scientific New Jersey 1994 xii+154
19. S. D. Taliaferro A nonlinear singular boundary value problem Nonlinear Analysis 3 1979 6 897-904
20. P. J. Y. Wong R. P. Agarwal On the existence of solutions of singular boundary value problems for higher order difference equations Nonlinear Analysis 28 1997 2 277-287
21. Y. Zhang Positive solutions of singular sublinear Emden-Fowler boundary value problems Journal of Mathematical Analysis and Applications 185 1994 1 215-222
22. Z. Zhang J. Wang The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems Journal of Computational and Applied Mathematics 147 2002 1 41-52