Existence of Positive Solutions for Second-Order Difference Equation with Discrete Boundary Value Problem

Abstract

We study the existence of positive solutions to the three points difference-summation boundary value problem. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem due to Krasnoselskii in cones. Keywords—Positive solution, Boundary value problem, Fixed point theorem, Cone.