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

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:62 Issue:1
EXISTENCE AND UNIQUENESS OF SOLUTION FOR A SECOND ORDER BOUNDARY VALUE PROBLEM

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

Authors : A GUEZANELAKOUD, N HAMİDANE, R KHALDİ

Pages : 121-129

Doi:10.1501/Commua1_0000000691

View : 14 | Download : 13

Publication Date : 2013-02-01

Article Type : Research Paper

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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