Positive solutions of a second-order integral boundary value problem

Journal of Mathematical Analysis and Applications

Volumn 321, Issue 2, 2006, Pages 751-765

  Yang, Zhilin ^a  

^a QINGDAO TECHNOLOGICAL UNIVERSITY   (China)

Author keywords

Fixed point; Integral boundary value problem; Positive solution

Indexed keywords

EID: 33646514866     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.09.002     Document Type: Article

References (26)

1. Deimling K. Nonlinear Functional Analysis (1985), Springer, Berlin
2. Feng W., and Webb J.R.L. Solvability of a m-point boundary value problems with nonlinear growth. J. Math. Anal. Appl. 212 (1997) 467-480
3. Grabmüller H. Integralgleichungen (für Mathematiker) (2000), Institut für Angewandte Mathematik, Vorlesung im Sommersemester, Friedrich-Alexander-Universität Erlangen-Nürnberg
4. Guo D., and Laksmikantham V. Nonlinear Problems in Abstract Cones (1988), Academic Press, Boston
5. Guo D., Sun J., and Liu Z. Functional Analysis Approaches in the Theory of Nonlinear Ordinary Differential Equations (1995), Shandong Press of Science and Technology, Jinan (in Chinese)
6. Gupta C.P. Solvability of a three-point nonlinear boundary value problem for a second-order ordinary differential equation. J. Math. Anal. Appl. 168 (1992) 540-551
7. Gupta C.P. A generalized multi-point boundary value problem for second-order ordinary differential equations. Appl. Math. Comput. 89 (1998) 133-146
8. Henderson J. Double solutions of three-point boundary-value problems for second-order differential equations. Electron. J. Differential Equations 115 (2004) 1-7
9. 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 difference aspects. Differential Equations 23 (1987) 803-810
10. Il'in V.A., and Moiseev E.I. Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator. Differential Equations 23 (1987) 979-987
11. Infante G. Eigenvalues of some non-local boundary-value problems. Proc. Edinburgh Math. Soc. 46 (2003) 75-86
12. Krasnoselskii M.A., and Zabreiko P.P. Geometrical Methods of Nonlinear Analysis (1984), Springer
13. Krein M.G., and Rutman M.A. Linear operators leaving invariant a cone in a Banach space. Transl. Amer. Math. Soc. 10 (1962) 199-325
14. Liu Z., and Li F. Multiple positive solutions of nonlinear two-point boundary values. J. Math. Anal. Appl. 203 (1996) 610-625
15. Ma R. Positive solutions for a nonlinear three-point boundary value problem. Electron. J. Differential Equations 1999 (1999) 1-8
16. Ma R. Existence theorems for a second-order m-point boundary value problem. J. Math. Anal. Appl. 211 (1997) 545-555
17. Ma R. Existence of positive solutions for superlinear semipositone m-point boundary value problems. Proc. Edinburgh Math. Soc. 46 (2003) 279-292
18. Ma R., and Wang H. Positive solutions of nonlinear three-point boundary value problems. J. Math. Anal. Appl. 279 (2003) 1216-1227
19. Ma R., and Thompson B. Positive solutions for nonlinear m-point eigenvalue problems. J. Math. Anal. Appl. 297 (2004) 24-37
20. Ma R., and Thompson B. Global behavior of positive solutions of nonlinear three-point boundary value problems. Nonlinear Anal. 60 (2005) 685-701
21. Moshinsky M. Sobre los problemas de condiciones a la frontiera en una dimension de caracteristicas discontinuas. Bol. Soc. Mat. Mexicana 7 (1950) 1-25
22. Palamides P.K. Positive and monotone solutions of an m-point boundary value problem. Electron. J. Differential Equations 18 (2002) 1-16
23. Timoshenko T. Theory of Elastic Stability (1971), McGraw-Hill, New York
24. Webb J.R.L. Positive solutions of some three-point boundary value problems via fixed point index theory. Nonlinear Anal. 47 (2001) 4319-4332
25. Yang Z., and O'Regan D. Positive solvability of systems of nonlinear Hammerstein integral equations. J. Math. Anal. Appl. 311 (2005) 600-614
26. Zhang G., and Sun J. Positive solutions of m-point boundary value problems. J. Math. Anal. Appl. 291 (2004) 406-418