International Journal of Differential Equations
Volume 2012 (2012), Article ID 471975, 14 pages
http://dx.doi.org/10.1155/2012/471975
Research Article

Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition

Assia Guezane-Lakoud,1 Hamidane Nacira,1 and Khaldi Rabah2

1Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, Algeria
2Laboratory LASEA, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, Algeria

Received 14 January 2012; Accepted 23 February 2012

Academic Editor: Yuji Liu

Copyright © 2012 Assia Guezane-Lakoud 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.

Abstract

This work is devoted to the study of uniqueness and existence of positive solutions for a second-order boundary value problem with integral condition. The arguments are based on Banach contraction principle, Leray Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in cone. Two examples are also given to illustrate the main results.