- Universal Journal of Mathematics and Applications
- Vol: 1 Issue: 2
- Solvability for a nonlinear third-order three-point boundary value problem
Solvability for a nonlinear third-order three-point boundary value problem
Authors : Djourdem Habib, Slimane Benaicha
Pages : 125-131
Doi:10.32323/ujma.400179
View : 12 | Download : 4
Publication Date : 2018-06-26
Article Type : Research
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