Nontrivial solution for a three-point boundary-value problem

Electronic Journal of Differential Equations

Volumn 2004, Issue , 2004, Pages 1-10

  Sun, Yong Ping ^a  

^a Hangzhou Radio & TV University   (China)

Author keywords

Leray Schauder nonlinear alternative; Nontrivial solution; Three point boundary value problem

Indexed keywords

EID: 5344248710     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. K. Deimling, Nonlinear Functional Analysis, Springer, Berlin, 1985.
2. W. Feng, J. R. L. Webb, Solvability of a three-point boundary value problems at resonance, Nonlinear Anal. 30(1997), 3227-3238.
3. W. Feng, J. R. L. Webb, Solvability of a m-point boundary value problems with nonlinear growth, J.Math.Anal.Appl. 212(1997), 467-480.
4. C. P. Gupta, Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equations, J. Math. Anal. Appl. 168(1992), 540-551.
5. C. P. Gupta, A shaper condition for the solvability of a three-point second order boundary value problem, J.Math. Anal.Appl. 205(1997), 586-597.
6. C. P. Gupta, Solvability of an m-point nonlinear boundary value problem for second order ordinary differential equations, J.Math.Anal.Appl. 189(1995)575-584.
7. X. He, W. Ge, Triple solutions for second-order three-point boundary value problems, J. Math. Anal. Appl. 268 (2002), 256-265.
8. G. Infante, J.R.L. Webb, Nonzero solutions of Hammerstein integral equations with discontinuous kernels, J.Math.Anal.Appl. 272(2002), 30-42.
9. G. Infante, Eigenvalues of some non-local boundary value problems, Proc. Edinburgh Math. Soc. 46(2003), 75-86.
10. B. Liu, Positive solutions of a nonlinear three-point boundary value problem, Comput. Math.Appl. 44(2002), 201-211.
11. B. Liu, Positive solutions of a nonlinear three-point boundary value problem, Appl. Math. Comput. 132(2002), 11-28.
12. R. Ma, Existence theorems for second order three-point boundary value problems, J.Math.Anal.Appl. 212 (1997), 545-555.
13. R. Ma, Positive solutions of a nonlinear three-point boundary value problems, Electronic J.Differential Equations 34(1999), 1-8.
14. R. Ma, Positive solutions for second-order three-point boundary value problems, Appl. Math. Letters 14(2001), 1-5.
15. R. Ma, Positive solutions of a nonlinear m-point boundary value problem, Comput. Math.Appl. 42(2001), 755-765.
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.