Positive solutions to a system of second-order nonlocal boundary value problems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 62, Issue 7, 2005, Pages 1251-1265

  Yang, Zhilin ^a  

^a QINGDAO TECHNOLOGICAL UNIVERSITY   (China)

Author keywords

Concave function; Fixed point index; Positive solution; System of nonlocal boundary value problems

Indexed keywords

ALGORITHMS; FUNCTIONS; INTEGRATION; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; PROBLEM SOLVING;

CONCAVE FUNCTIONS; FIXED POINT INDEX; POSITIVE SOLUTIONS; SYSTEM OF NONLOCAL BOUNDARY VALUE PROBLEMS;

BOUNDARY VALUE PROBLEMS;

EID: 22344437538     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.04.030     Document Type: Article

References (20)

1. D. Cao, and R. Ma Positive solutions to a second order multi-point boundary-value problem Electron. J. Differential Equations 65 2000 1 18
2. K. Deimling Nonlinear Functional Analysis 1985 Springer Berlin
3. D. Guo, and V. Laksmikantham Nonlinear Problems in Abstract Cones 1988 Academic Press Boston, New York
4. X. He, and W. Gao Triple solutions for second-order three-point boundary value problems J. Math. Anal. Appl. 268 1 2002 256 265
5. J. Henderson Double solutions of three-point boundary-value problems for second-order differential equations Electron. J. Differential Equations 115 2004 1 7
6. 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 difference aspects J. Differential Equations 23 1987 803 810
7. G. Infante Eigenvalues of some non-local boundary-value problems Proc. Edinburgh Math. Soc. 46 2003 75 86
8. G.L. Karakostas, and P.Ch. Tsamatos Positive solutions of a boundary value problem for second order ordinary differential equations Electron. J. Differential Equations 49 2000 1 9
9. B. Liu Positive solutions of a nonlinear three-point boundary value problem Appl. Math. Comput. 132 2002 11 28
10. R.Y. Ma Positive solutions for a nonlinear three-point boundary value problem Electron. J. Differential Equations 34 1999 1 8
11. R.Y. Ma Multiplicity of positive solutions for a second-order three-point boundary value problem Comput. Math. Appl. 40 2000 193 204
12. R. Ma Existence of positive solutions for second order m-point boundary value problems Ann. Polon. Math. 79 2002 265 276
13. R.Y. Ma Existence of positive solutions for superlinear semipositone m-point boundary value problems Proc. Edinburgh Math. Soc. 46 2003 279 292
14. R. Ma, and B. Thompson Positive solutions for nonlinear m-point eigenvalue problems J. Math. Anal. Appl. 297 2004 24 37
15. R. Ma, and H. Wang Positive solutions of nonlinear three-point boundary value problems J. Math. Anal. Appl. 279 2003 1216 1227
16. M. Moshinsky Sobre los problemas de condiciones a la frontiera en una dimension de caracteristicas discontinuas Bol. Soc. Mat. Mexicana 7 1950 1 25
17. P.K. Palamides Positive and monotone solutions of an m-point boundary value problem Electron. J. Differential Equations 18 2002 1 16
18. T. Timoshenko Theory of Elastic Theory 1971 McGraw-Hill New York
19. J.R.L. Webb Positive solutions of some three-point boundary value problems via fixed point index theory Nonlinear Anal. 47 2001 4319 4332
20. G. Zhang, and J. Sun Positive solutions of m-point boundary value problems J. Math. Anal. Appl. 291 2004 406 418