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Open Access Research Article

Second-Order Boundary Value Problem with Integral Boundary Conditions

Mouffak Benchohra1*, JuanJ Nieto2 and Abdelghani Ouahab1

Author Affiliations

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

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Boundary Value Problems 2011, 2011:260309  doi:10.1155/2011/260309

Published: 13 October 2010

Abstract

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.