Successive iteration and positive solutions for a second-order multi-point boundary value problem on a half-line
This paper deals with the existence of positive solutions for some second-order multi-point boundary value problem on the half-line. Our approach is based on the fixed point theorem and the monotone iterative technique. Without the assumption of the existence of lower and upper solutions, we obtain not only the existence of positive solutions for the problems, but also establish iterative schemes for approximating the solutions. (C) 2009 Elsevier Ltd. All rights reserved.
successive iteration positive solutions half-line fixed point theorem singular differential equation