Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition. (8th May 2012)

• Record Type: Journal Article
• Authors: Guezane-Lakoud, Assia; Nacira, Hamidane; Rabah, Khaldi
• Other Names: Liu Yuji Academic Editor.
• Is Part Of: International journal of differential equations. Volume 2012(2012)
• Publication Date: 2012-05-08
• Subjects: Differential equations -- Periodicals; Differential equations; Periodicals; 515.35
• DOI: 10.1155/2012/471975
• Languages: English
• ISSNs: 1687-9643

Abstract

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.