Existence of Positive Solutions for Fourth Order Two Point Sturm Liouville Boundary Value Problems

Abstract

This thesis is concerned with fourth-order two-point non-linear Sturm-Liouville boundary value problems. It also focused on constructing Green’s function for corresponding non-trivial homogeneous equation by using its properties. Under the suitable conditions, we established the existence of at least one positive solution by applying Guo-Krasnoselskii’s fixed point theorem. We provided examples to demonstrate for the applicability of our main result.