Journal of Applied Mathematics and Stochastic Analysis 
Volume 2006 (2006), Article ID 10490, 10 pages
doi:10.1155/JAMSA/2006/10490

Upper and lower solutions method for differential inclusions with integral boundary conditions

Mouffak Benchohra and Abdelghani Ouahab

 Department of Mathematics, University of Sidi Bel Abbes, Sidi Bel Abbes BP 89 22000, Algeria
Received 26 July 2004; Revised 8 April 2005; Accepted 12 April 2005

Abstract

A nonlinear alternative of the Leray-Schauder type for multivalued maps combined with upper and lower solutions is used to investigate the existence of solutions for second-order differential inclusions with integral boundary conditions.