The existence of countably many positive solutions for some nonlinear nth order m-point boundary value problems

Journal of Computational and Applied Mathematics

Volumn 232, Issue 2, 2009, Pages 187-200

  Ji, Yude ^a   Guo, Yanping ^a  

^a HEBEI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Boundary value problem; Green's function; Holder's inequality; Krasnoselskii's fixed point theorem; Multiple positive solution

Indexed keywords

BOUNDARY VALUES; HOLDER'S INEQUALITY; KRASNOSELSKII'S FIXED POINT THEOREM; M-POINT BOUNDARY VALUE PROBLEM; MULTIPLE POSITIVE SOLUTION; POSITIVE SOLUTION;

BOUNDARY VALUE PROBLEMS; MATHEMATICAL OPERATORS; ORDINARY DIFFERENTIAL EQUATIONS;

GREEN'S FUNCTION;

EID: 68349133633     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2009.05.023     Document Type: Article

References (10)

1. Il'in V.A., and Moiseev E.I. Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator. Differ. Equ. 23 8 (1987) 979-987
2. Il'in V.A., and Moiseev E.I. Nonlocal boundary value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects. Differ. Equ. 23 7 (1987) 803-810
3. Ma R.Y., and Castaneda N. Existence of solutions for nonlinear m-point boundary value problems. J. Math. Anal. Appl. 256 (2001) 556-567
4. Ma R.Y. Positive solutions for second order three-point boundary value problems. Appl. Math. Lett. 14 (2001) 1-5
5. Liu B. Positive solutions of three-point boundary value problem for the one-dimensional p-Laplacian with infinitely many singularities. Appl. Math. Lett. 17 (2004) 655-661
6. Guo Y.P., and Ge W.G. Positive solutions for three-point boundary value problems with dependence on the first order derivatives. J. Math. Anal. Appl. 290 (2004) 291-301
7. Eloe Paul.W., and Henderson J. Positive solutions for (n - 1, 1) conjugate boundary value problems. Nonlinear Anal. 28 (1997) 1669-1680
8. Liu Y.J., and Ge W.G. Positive solutions for (n - 1, 1) three-point boundary value problems with coefficient the change sign. J. Math. Anal. Appl. 282 (2003) 806-825
9. Guo Y.P., Ji Y.D., and Zhang J.H. Three positive solutions for a nonlinear nth order m-point boundary value problems. Nonlinear Anal. 68 (2008) 3485-3492
10. Kaufmann E.R., and Kosmatov N. A multiplicity result for a boundary value problem with infinitely many singularities. J. Math. Anal. Appl. 269 (2002) 444-453