Existence Of Three Positive Solutions For Second Order Undammed Three Point Boundary Value Problems In Cone Banach Space

Abstract

This thesis is concerned with second-order three-point undamped non-linear boundary value problems. It also focused on constructing Green’s function for corresponding homogeneous boundary value problems by using Green’s function properties. Under the suitable conditions, we established the existence of three positive solution by applying Avery and Peterson fixed point theorem. To illustrate the result examples are provided. This study was mostly dependent on secondary source of data such as journals and books which related to our study area.