Second-Order Boundary Value Problem with Integral Boundary Conditions
1 Department of Mathematics, University of Sidi Bel Abbes, BP 89, 2000 Sidi Bel Abbe, Algeria
2 Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain
Boundary Value Problems 2011, 2011:260309 doi:10.1155/2011/260309Published: 13 October 2010
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.