Existence of positive solutions of a nonlinear second-order boundary-value problem with integral boundary conditions

Abstract

In this article we prove the existence of at least one positive solution for a three-point integral boundary-value problem for a second-order nonlinear differential equation. The existence result is obtained by using Schauder's fixed point theorem. Therefore, we do not need local assumptions such as superlinearity or sublinearity of the involved nonlinear functions.

Keywords

• Nonlinear boundary value problem
• integral boundary conditions
• Schauder's fixed point theorem