Research articles

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

Faouzi Haddouchi<sup>ab

a</sup> Department of Physics, University of Sciences and Technology of Oran-MB, El Mnaouar BP 1505, 31000 Oran, Algeria
^b Laboratoire de Mathématiques Fondamentales et Appliquées d'Oran (LMFAO) Université Oran1, Oran, Algérie

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 [3]. In addition, examples are included to show the validity of our results.

Keywords and phrases: positive solutions, Leray–Schauder fixed point theorem, fourth-order integral boundary value problems, existence, cone.

MSC: 34B15, 34B18, 34C25

Received: 12.12.2017

Language: English