Positive solutions to a third order nonlocal boundary value problem with a parameter

Abstract

We present some sufficient conditions for the existence of positive solutions to a third order differential equation subject to nonlocal boundary conditions. Our approach is based on the Krasnosel'skiĭ-Guo fixed point theorem in cones and the properties of the Green's function corresponding to the BVP under study. The main results are illustrated by suitable examples.

Keywords

• boundary value problem
• nonlocal boundary conditions
• positive solution
• cone