On existence and uniqueness of positive solutions for integral boundary boundary value problems

Electronic Journal of Qualitative Theory of Differential Equations

Volumn , Issue , 2010, Pages 1-8

  Mao, Jinxiu ^a   Zhao, Zengqin ^a   Xu, Naiwei ^b  

^a QUFU NORMAL UNIVERSITY   (China)

^b Shandong Water Conservation Professional Institute   (China)

Author keywords

Boundary value problem; Positive solution

Indexed keywords

EID: 77955184607     PISSN: None     EISSN: 14173875     Source Type: Journal    
DOI: 10.14232/ejqtde.2010.1.16     Document Type: Article

References (13)

1. M. Q. Feng, D. H. Ji, W. G. Ge, Positive solutions for a class of boundary value problem with integral boundary conditions in Banach spaces, J. Comput. Appl. Math. 222(2) (2008) 351-363.
2. P. Kang, Z. L. Wei, Three positive solutions of singular nonlocal boundary value problems for systems of nonlinear second order ordinary differential equations, Nonlinear Anal. 70(1) (2009)444-451.
3. Z. L. Yang, Existence and uniqueness of positive solutions for an integral boundary value problem, Nonlinear Anal. 69(11) (2008) 3910-3918.
4. Z. L. Yang, Positive solutions of a second order integral boundary value problem, J. Math. Anal. Appl. 321(2) (2006) 751-765.
5. J. R. L. Webb, M. Zima, Multiple positive solutions of resonant and non-resonant nonlocal boundary value problems, Nonlinear Anal. 71 (2009) 1369-1378.
6. X.S. Du, Z.Q. Zhao, Existence and uniqueness of positive solutions to a class of singular m-point boundary value problems, Appl. Math. Comput. 198(2) (2008) 487-493.
7. J. R. L. Webb, Gennaro Infante, Positive solutions of nonlocal boundary value problems: a unified approach, J. London Math. Soc. (2) 74 (2006) 673-693.
8. J. R. L. Webb, Gennaro Infante, Positive solutions of nonlocal boundary value problems involving integral conditions, NoDEA Nonlinear differ. equ. appl. 15 (2008) 45-67.
9. G. L. Karakostas, P. Ch. Tsamatos, Existence of multiple positive solutions for a nonlocal boundary value problem, Topol. Methods Nonlinear Anal. 19 (2002) 109-121.
10. Boucherif, Abdelkader, Second-order boundary value problems with integral boundary conditions, Nonlinear Anal. 70 (2009), no. 1, 364-371.
11. Infante, Gennaro, Eigenvalues and positive solutions of ODEs involving integral boundary conditions, Discrete Contin. Dyn. Syst. 2005, suppl., 436-442.
12. S. L. Xi, M. Jia, H. P. Ji, Positive solutions of boundary value problems for systems of second-order differential equations with integral boundary condition on the half-line, Electron. J. Qual. Theory Differ. Equ. 2009, No. 31, 1-13.
13. Z. L. Yang, Existence and nonexistence results for positive solutions of an integral boundary value problem, Nonlinear Anal. 65 (2006), no. 8, 1489-1511.