Existence of positive solutions for nonlocal second-order boundary value problem with variable parameter in Banach spaces

Fixed Point Theory and Applications

Volumn 2011, Issue , 2011, Pages

  Zhang, Peiguo ^a  

^a HEZE UNIVERSITY   (China)

Author keywords

Boundary value problem; Fixed point theorem; Measure of noncompactness; Positive solution

Indexed keywords

EID: 84888022179     PISSN: 16871820     EISSN: 16871812     Source Type: Journal    
DOI: 10.1186/1687-1812-2011-43     Document Type: Article

References (11)

1. Feng, M, Ji, D, Ge, W: Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces. J Comput Appl Math. 222(2), 351-363 (2008). doi:10.1016/j.cam.2007.11.003
2. Li, F, Sun, J, Jia, M: Monotone iterative method for the second-order three-point boundary value problem with upper and lower solutions in the reversed order. Appl Math Comput. 217(9), 4840-4847 (2011). doi:10.1016/j.amc. 2010.11.003
3. Sun, Y, Liu, L, Zhang, J, Agarwal, R: Positive solutions of singular three-point boundary value problems for second-order differential equations. J Comput Appl Math. 230(2), 738-750 (2009). doi:10.1016/j.cam.2009.01.003
4. Li, F, Jia, M, Liu, X, Li, C, Li, G: Existence and uniqueness of solutions of second-order three-point boundary value problems with upper and lower solutions in the reversed order. Nonlinear Anal. Theory Methods Appl. 68(8), 2381-2388 (2008). doi:10.1016/j.na.2007.01.065
5. Lee, Y, Liu, X: Study of singular boundary value problems for second order impulsive differential equations. J Math Anal Appl. 331(1), 159-176 (2007). doi:10.1016/j.jmaa.2006.07.106
6. Zhang, G, Sun, J: Multiple positive solutions of singular second-order m-point boundary value problems. J Math Anal Appl. 317(2), 442-447 (2006). doi:10.1016/j.jmaa.2005.08.020
7. Zhang, X, Feng, M, Ge, W: Symmetric positive solutions for p-Laplacian fourth-order differential equations with integral boundary conditions. J Comput Appl Math. 222(2), 561-573 (2008). doi:10.1016/j.cam.2007.12.002
8. Zhang, X, Feng, M, Ge, W: Existence result of second-order differential equations with integral boundary conditions at resonance. J Math Anal Appl. 353(1), 311-319 (2009). doi:10.1016/j.jmaa.2008.11.082
9. Feng, M, Du, B, Ge, W: Impulsive boundary value problems with integral boundary conditions and one-dimensional p-Laplacian. Nonlinear Anal. 70(9), 3119-3126 (2009). doi:10.1016/j.na.2008.04.015
10. Guo, D, Lakshmikantham, V, Liu, X: Nonlinear Integral Equations in Abstract Spaces. Kluwer Academic Publishers, Dordrecht (1996)
11. Guo, D, Lakskmikantham, V: Nonlinear Problems in Abstract Cones. Academic Press, New York (1988)