Solvability for a nonlinear third-order three-point boundary value problem

Authors : Djourdem Habib, Slimane BENAİCHA

Pages : 125-131

Doi:10.32323/ujma.400179

View : 18 | Download : 10

Publication Date : 2018-06-26

Article Type : Research Paper

Abstract :In this article, the existence of positive solutions for a nonlinear third-order three-point boundary value problem with integral condition is investigated. By using Leray-Schauder fixed point theorem, sufficient conditions for the existence of at least one positive solution are obtained. Illustrative examples are also presented to show the applicability of our results.
Keywords : Positive solutions, nonlocal integral boundary value problem, Concavity, Leray Schauder fixed point theorem