Existence of Two Positive Solutions for Second Order Four- Point Boundary Value Problems in cone.

Abstract

This thesis is concerned the existence of two positive solutions for second order four- point boundary value problem. It also focused on constructing Green function for corresponding non trivial homogeneous equation by using its properties. Under the suitable conditions, we can investigated existence of two positive solutions for second order four- point boundary value problems by applying Avery-Henderson fixed point theorem in cones Banach space. We provided an example to demonstrate for the applicability of our main result. This study will mostly dependent on secondary source of data such as journals and books which are found in different libraries and internet service use for the study.