Positive solutions of a nonlinear fourth-order integral boundary value problem

TL;DR

This paper investigates the existence of positive solutions for a nonlinear fourth-order boundary value problem with integral conditions, using fixed point theory to establish sufficient conditions for solutions.

Contribution

It introduces a novel application of Krasnoselskii's fixed point theorem to a specific class of nonlinear fourth-order boundary value problems with integral conditions.

Findings

Established sufficient conditions for positive solutions

Applied fixed point theorem in a new context

Provided theoretical framework for similar boundary value problems

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.