<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, the existence of positive solutions for a nonlinear fourth-order two-point boundary value problem with integral condition is investigated. By using Krasnoselskii’s fixed point theorem on cones, sufficient conditions for the existence of at least one positive solutions are obtained.</p></abstract>

In this paper, the existence of positive solutions for a nonlinear fourth-order two-point boundary value problem with integral condition is investigated. By using Krasnoselskii’s fixed point theorem on cones, sufficient conditions for the existence of at least one positive solutions are obtained.

Positive Solutions of a Nonlinear Fourth-order Integral Boundary Value Problem

Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), Department of Mathematics, University of Oran 1 Ahmed Benbella, 31000 Oran,

Department of Physics, University of Sciences and Technology of Oran-MB, El Mnaouar, BP 1505, 31000 Oran, Algeria; Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), Department of Mathematics, University of Oran 1 Ahmed Benbella, 31000 Oran,

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Positive Solutions of a Nonlinear Fourth-order Integral Boundary Value Problem"}

In this paper, the existence of positive solutions for a nonlinear fourth-order two-point boundary value problem with integral condition is investigated. By...

Positive Solutions of a Nonlinear Fourth-order Integral Boundary Value Problem

Published Online: Sep 24, 2016

Page range: 73 - 86

Received: Feb 07, 2016

Accepted: May 16, 2016

DOI: https://doi.org/10.1515/awutm-2016-0005

Keywords
Positive solutions, Krasnoselskii’s fixed point theorem, fourth-order integral boundary value problems, existence, cone

© 2016 Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Positive Solutions of a Nonlinear Fourth-order Integral Boundary Value Problem

Published Online: Sep 24, 2016

Page range: 73 - 86

Received: Feb 07, 2016

Accepted: May 16, 2016

DOI: https://doi.org/10.1515/awutm-2016-0005

KeywordsPositive solutions, Krasnoselskii’s fixed point theorem, fourth-order integral boundary value problems, existence, cone

© 2016 Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Positive solutions, Krasnoselskii’s fixed point theorem, fourth-order integral boundary value problems, existence, cone