Solvability of a nonlinear boundary value problem


Authors

A. Guezane-Lakoud - Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, Annaba, Algeria. S. KELAIAIA - Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, Annaba, Algeria.


Abstract

In this paper we consider three point boundary value problems of second order. We introduce new and sufficient conditions that allow us to obtain the existence of a nontrivial solution by using Leray Schauder nonlinear alternative. As an application, we give some examples to illustrate our results.


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