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IMI/Publicaţii/BASM/Ediţii/BASM n.3(91), 2019/

A note on existence results for a nonlinear fourth-order integral boundary value problem

Authors: Faouzi Haddouchi

Abstract

In this short note, we present some new existence results for a nonlinear fourth-order two-point boundary value problem with integral condition. The existence results are obtained by using the Leray-Schauder fixed point theorem. Our work improves the main results of Benaicha and Haddouchi \cite% {Benai}. In addition, examples are included to show the validity of our results.

Department of Physics, University of Sciences
and Technology of Oran-MB, El Mnaouar
BP 1505, 31000 Oran, Algeria
Laboratoire de Mathématiques Fondamentales
et Appliquées d’Oran (LMFAO)
Université Oran1, Oran, Algérie
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