Triple positive solutions for a class of boundary value problems with integral boundary conditions

Authors

  • S. Benaicha University of Oran1 Ahmed Benbella, Algeria
  • N. Bouteraa University of Oran1 Ahmed Benbella, Algeria
  • H. Djourdem University of Oran1 Ahmed Benbella, Algeria

DOI:

https://doi.org/10.31926/but.mif.2020.13.62.1.5

Keywords:

Differential equations, Existence, Fourth-order, Triple positive solutions, Green's function, Leggett-Williams fixed-point theorem

Abstract

In this paper, by using Leggett-Williams fixed-point theorem and Hölder inequality, we study the existence of three positive solutions for fourth-order differential equations with integral boundary conditions. The results are illustrated with an example.

Author Biographies

S. Benaicha, University of Oran1 Ahmed Benbella, Algeria

Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO)

N. Bouteraa, University of Oran1 Ahmed Benbella, Algeria

Laboratory of Fundamental and Applied Mathematics of Oran (LM-FAO)

H. Djourdem, University of Oran1 Ahmed Benbella, Algeria

Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO)

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Published

2020-07-22

Issue

Vol. 13(62) No. 1 (2020)

Section

MATHEMATICS