Positive solutions of a singular 4th order two-point boundary value problem

Abstract

This paper investigates the existence and nonexistence of positive solutions for nonlinear higher-order boundary value problem. This can be achieved with the help of suitable theorems by means of the fixed point theory for studying a nonlinear real functions and continuous differential equation in the Banach space of a bounded and closed interval. We show that the mentioned 4th order differential equation has at least one positive solution.