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

Abstract

Thispaperdealswithasecondorderboundaryvalueproblemwith only integrals conditions. Our aim is to give new conditions on the nonlinear term;then,using Banach contraction principle and Leray Schauder nonlinear alternative,we establish the existence of nontrivial solution ofthe considered problem. Asan application,someexamplestoillustrateourresultsaregiven.