Positive solutions for three-point boundary value problems with dependence on the first order derivative

摘要

A new fixed point theorem in a cone is applied to obtain the existence of at least one positive solution for the second order three-point boundary value problem [GRAPHICS] where f is a nonnegative continuous function, alpha > 0, eta is an element of (0, 1), alphaeta < 1. The associated Green's function for the above problem is also used. (C) 2003 Elsevier Inc. All rights reserved. [References: 11]