Positive solutions of nonlinear multi-point boundary value problems

Abstract

This paper deals with the existence of positive solutions of nonlinear differential equation subject to the boundary conditions By using Schauder's fixed point theorem, we show that it has at least one positive solution if f is nonnegative and continuous. Positive solutions of the above boundary value problem satisfy theHarnack inequality

inf(0 <= t <= 1) u(t) >= gamma parallel to u parallel to(infinity.)