Multiple positive solutions for nonlinear boundary value problems with integral boundary conditions

Abdelkader Belarbi, Mouffak Benchohra, and Abdelghani Ouahab

Address: Corresponding author: Mouffak Benchohra Laboratoire de Mathématiques, Université de Sidi Bel Abbès BP 89, 22000, Sidi Bel Abbès, Algérie

E-mail:
aek_belarbi@yahoo.fr
benchohra@yahoo.com
agh_abdelghani@yahoo.fr

Abstract: In this paper we investigate the existence of multiple positive solutions for nonlinear boundary value problems with integral boundary conditions. We shall rely on the Leggett-Williams fixed point theorem.

AMSclassification: Primary: 34B15; Secondary: 34B27.

Keywords: multiple solutions, Leggett-Williams fixed point theorem, nonlinear boundary value problem, integral boundary conditions