EXISTENCE AND UNIQUENESS OF SOLUTION FOR A SECOND ORDER BOUNDARY VALUE PROBLEM

Year 2013, Volume: 62 Issue: 1, 121 - 129, 01.02.2013

A. Guezane-lakoud N. Hamidane R. Khaldi

https://doi.org/10.1501/Commua1_0000000691

Cited By: 1

Abstract

This paper deals with a second order boundary value problem withonly integrals conditions. Our aim is to give new conditions on the nonlinearterm; then, using Banach contraction principle and Leray Schauder nonlinearalternative, we establish the existence of nontrivial solution of the consideredproblem. As an application, some examples to illustrate our results are given

Keywords

Fixed point theorem, two-point boundary value problem, Banach contraction principle, Leray Schauder nonlinear alternative, second-order equation

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• Current address : A. Guezane-Lakoud and N. Hamidane;Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000, Annaba, ALGERIA.
• R. Khaldi; Laboratory LASEA, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box , 23000, Annaba, ALGERIA.
• E-mail address : [e-mail]; [e-mail], [e-mail] URL: http://communications.science.ankara.edu.tr/index.php?series=A1