The shooting method and nonhomogeneous multipoint BVPs of second-order ODE

Boundary Value Problems

Volumn 2007, Issue , 2007, Pages

  Kwong, Man Kam ^a   Wong, James S W ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 38849095711     PISSN: 16872762     EISSN: 16872770     Source Type: Journal    
DOI: 10.1155/2007/64012     Document Type: Article

References (34)

1. M. K. Kwong The shooting method and multiple solutions of two/ multi-point BVPs of second-order ODE Electronic Journal of Qualitative Theory of Differential Equations 2006 2006 6 1-14
2. M. A. Krasnosel'skiǐ Positive Solutions of Operator Equations P. Noordhoff Groningen, The Netherlands 1964 381
3. J. V. Baxley L. J. Haywood Nonlinear boundary value problems with multiple solutions Nonlinear Analysis: Theory, Methods & Applications 47 2001 2 1187-1198
4. V. A. Il'in E. L. Moiseev Nonlocal boundary-value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects Journal of Differential Equations 23 1987 7 803-810
5. V. A. Il'in E. L. Moiseev Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator Journal of Differential Equations 23 1987 979-987
6. C. P. Gupta Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation Journal of Mathematical Analysis and Applications 168 1992 2 540-551
7. C. P. Gupta A note on a second order three-point boundary value problem Journal of Mathematical Analysis and Applications 186 1994 1 277-281
8. S. A. Marano A remark on a second-order three-point boundary value problem Journal of Mathematical Analysis and Applications 183 1994 3 518-522
9. A. Constantin On a two-point boundary value problem Journal of Mathematical Analysis and Applications 193 1995 1 318-328
10. R. Avery Existence of multiple positive solutions to a conjugate boundary value problem Mathematical Sciences Research Hot-Line 2 1998 1 1-6
11. J. Henderson H. B. Thompson Multiple symmetric positive solutions for a second order boundary value problem Proceedings of the American Mathematical Society 128 2000 8 2373-2379
12. R. Ma Positive solutions for a nonlinear three-point boundary-value problem Electronic Journal of Differential Equations 1999 1999 34 1-8
13. W. Sun S. Chen Q. Zhang C. Wang Existence of positive solutions to n -point nonhomogeneous boundary value problem Journal of Mathematical Analysis and Applications 330 2007 1 612-621
14. R. Ma Existence theorems for a second order three-point boundary value problem Journal of Mathematical Analysis and Applications 212 1997 2 430-442
15. C. V. Coffman J. S. W. Wong Oscillation and nonoscillation of solutions of generalized Emden-Fowler equations Transactions of the American Mathematical Society 167 1972 399-434
16. Y. N. Raffoul Positive solutions of three-point nonlinear second order boundary value problem Electronic Journal of Qualitative Theory of Differential Equations 2002 2002 5 1-11
17. B. Liu Positive solutions of a nonlinear three-point boundary value problem Computers & Mathematics with Applications 44 2002 1-2 201-211
18. B. Liu Positive solutions of a nonlinear three-point boundary value problem Applied Mathematics and Computation 132 2002 1 11-28
19. D. Guo V. Lakshmikantham Nonlinear Problems in Abstract Cones Notes and Reports in Mathematics in Science and Engineering 5 Academic Press Boston, Mass, USA 1988 viii+275
20. R. Ma Existence theorems for a second order m-point boundary value problem Journal of Mathematical Analysis and Applications 211 1997 2 545-555
21. J. Mawhin Topological Degree Methods in Nonlinear Boundary Value Problems CBMS Regional Conference Series in Mathematics 40 American Mathematical Society Providence, RI, USA 1979 v+122
22. J. Mawhin M. Furi P. Zecca Topological degree and boundary value problems for nonlinear differential equations Topological Methods for Ordinary Differential Equations Lecture Notes in Mathematics 1537 74-142 Springer Berlin, Germany 1993
23. C. P. Gupta S. K. Ntouyas P. Ch. Tsamatos Existence results for m -point boundary value problems Differential Equations and Dynamical Systems 2 1994 4 289-298
24. C. P. Gupta S. K. Ntouyas P. Ch. Tsamatos On an m -point boundary-value problem for second-order ordinary differential equations Nonlinear Analysis: Theory, Methods & Applications 23 1994 11 1427-1436
25. C. P. Gupta S. I. Trofimchuk Existence of a solution of a three-point boundary value problem and the spectral radius of a related linear operator Nonlinear Analysis: Theory, Methods & Applications 34 1998 4 489-507
26. Y. P. Guo W. R. Shan W. G. Ge Positive solutions for second-order m -point boundary value problems Journal of Computational and Applied Mathematics 151 2003 2 415-424
27. C. P. Gupta S. I. Trofimchuk A sharper condition for the solvability of a three-point second order boundary value problem Journal of Mathematical Analysis and Applications 205 1997 2 586-597
28. C. P. Gupta A generalized multi-point boundary value problem for second order ordinary differential equations Applied Mathematics and Computation 89 1998 1-3 133-146
29. W. Feng J. R. L. Webb Solvability of three point boundary value problems at resonance Nonlinear Analysis: Theory, Methods & Applications 30 1997 6 3227-3238
30. W. Feng J. R. L. Webb Solvability of m-point boundary value problems with nonlinear growth Journal of Mathematical Analysis and Applications 212 1997 2 467-480
31. W. Feng On an m-point boundary value problem Nonlinear Analysis: Theory, Methods & Applications 30 1997 8 5369-5374
32. W.-S. Cheung J. Ren Twin positive solutions for quasi-linear multi-point boundary value problems Nonlinear Analysis: Theory, Methods & Applications 62 2005 1 167-177
33. Y. Naito S. Tanaka On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations Nonlinear Analysis: Theory, Methods & Applications 56 2004 6 919-935
34. Q. Kong Existence and nonexistence of solutions of second-order nonlinear boundary value problems Nonlinear Analysis: Theory, Methods & Applications 66 2007 11 2635-2651