Boundary Value Problems
Volume 2011 (2011), Article ID 260309, 9 pages
Research Article

Second-Order Boundary Value Problem with Integral Boundary Conditions

1Department of Mathematics, University of Sidi Bel Abbes, BP 89, 2000 Sidi Bel Abbe, Algeria
2Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain

Received 28 May 2010; Revised 1 August 2010; Accepted 1 October 2010

Academic Editor: Gennaro Infante

Copyright © 2011 Mouffak Benchohra et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The nonlinear alternative of the Leray Schauder type and the Banach contraction principle are used to investigate the existence of solutions for second-order differential equations with integral boundary conditions. The compactness of solutions set is also investigated.