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

Year 2018, Volume: 1 Issue: 2, 125 - 131, 26.06.2018

Djourdem Habib , Slimane Benaicha

https://doi.org/10.32323/ujma.400179

Cited By: 3

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

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