Positive solutions of nonlinear third-order boundary value problem with integral boundary conditions

Habib Djourdem 1 * and Slimane Benaicha 2

doi:10.26637/MJM0702/0019

Positive solutions of nonlinear third-order boundary value problem with integral boundary conditions

Authors :

Habib Djourdem ^{1 *} and Slimane Benaicha ²

Author Address :

^1,2 Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO) , University of Oran1, Ahmed Benbella. Algeria.

*Corresponding author.

Abstract :

In this paper, we study the existence of positive solutions for boundary value problems of third-order two-point differential equations with integral boundary conditions. we mainly use the Krasnoselskii’s fixed point theorem Value problem, at least there is a positive solution, and give an example to verify the conclusion.

Keywords :

Krasnoselskii’s fixed point theorem, Third-order boundary value problem, Cone, Existence.

DOI :

10.26637/MJM0702/0019

Article Info :

Received : February 12, 2018; Accepted : February 22, 2019.