Semipositone m-point boundary-value problems

Electronic Journal of Differential Equations

Volumn 2004, Issue , 2004, Pages 1-7

  Kosmatov, Nickolai ^a  

^a Univ of Arkansas at Little Rock ^*  (United States)

Author keywords

Fixed point theorem; Green's function; Multi point boundary value poblem; Positive solutions

Indexed keywords

EID: 8744315870     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. R. P. Agarwal, S. R. Grace and D. O'Regan, Semipositone higher-order differential equations, Appl. Math. Lett. 17 (2004), 201-207
2. D. Anderson, Solutions to second-order three-point problems on time scales, J. Difference Equ. Appl. 8 (2002), 673-688.
3. D. Cao and R. Ma, Positive solutions to a second order multi-point boundary-value problem, Electron. J. of Differential Equations 2000 (2000), No. 65, 1-8.
4. W. Feng, Solutions and positive solutions for some three-point boundary-value problems, in Proc. of the 4th International Conference on Dynamical Systems and Differential Equations, 263-272.
5. W. Feng and J. R. L. Webb, Solvability of a m-point boundary-value problem with nonlinear growth, J. Math. Anal. Appl. 212 (1997), 467-480.
6. M. Garsía-Huidobro and R. Manásevich, A three-point boundary-value problem containing the operator -(φ(u′))′, in Proc. of the 4th International Conference on Dynamical Systems and Differential Equations, 313-319.
7. V. A. Il'in and E. I. Moiseev, Nonlocal boundary-value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects, J. Differential Equations, 23(7) (1987), 803-810.
8. V. A. Il'in and E. I. Moiseev, Nonlocal boundary-value problem of the first kind for a Sturm-Liouville operator, J. Differential Equations 23(8) (1987), 979-987.
9. E. R. Kaufmann, Positive solutions of a three-point boundary value on a time scale, Electron. J. of Differential Equations, 2003 (2003), No. 82, 1-11.
10. E. R. Kaufmann and N. Kosmatov, A singular three-point boundary-value problem, preprint.
11. E. R. Kaufmann and Y. N. Raffoul, Eigenvalue problems for a three-point boundary-value problem on a time scale, Electron. J. Qual. Theory Differ. Equ. 2004 (2004), No.15, 1 - 10.
12. M. A. Krasnosel'skiǐ, Topological Methods in the Theory of Nonlinear Integral Equations, (English) Translated by A. H. Armstrong; A Pergamon Press Book, MacMillan, New York, 1964.
13. B. Liu, Nontrivial solutions of second-order three-point boundary-value problems, preprint.
14. R. Ma, Existence theorems for a second order three-point boundary-value problem, J. Math. Anal. Appl. 211 (1997), 545-555.
15. R. Ma, Positive solutions of a nonlinear three-point boundary-value problem, Electron. J. of Differential Equations 1999 (1999), No. 34, 1-8.
16. J. R. L. Webb, Positive solutions of some three point boundary-value problems via fixed point index theory, Nonlinear Anal. 47(2001), 4319-4332.
17. J. R. L. Webb, Remarks on positive solutions of some three point boundary-value problems, in Proc. of the 4th International Conference on Dynamical Systems and Differential Equations, 905-915.