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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, Number 3, Pages 3–9 (Mi basm513)  
Research articles

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

Faouzi Haddouchiab

a 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
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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.
Received: 12.12.2017
Document Type: Article
MSC: 34B15, 34B18, 34C25
Language: English
Citation: Faouzi Haddouchi, “A note on existence results for a nonlinear fourth-order integral boundary value problem”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2019, no. 3, 3–9
Citation in format AMSBIB
\Bibitem{Had19}
\by Faouzi~Haddouchi
\paper A note on existence results for a nonlinear fourth-order integral boundary value problem
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2019
\issue 3
\pages 3--9
\mathnet{http://mi.mathnet.ru/basm513}
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