Boundary Value Problems
Volume 2009 (2009), Article ID 191627, 13 pages
doi:10.1155/2009/191627

Existence and Uniqueness of Smooth Positive Solutions to a Class of Singular m-Point Boundary Value Problems

Abstract

This paper investigates the existence and uniqueness of smooth positive solutions to a class of singular m-point boundary value problems of second-order ordinary differential equations. A necessary and sufficient condition for the existence and uniqueness of smooth positive solutions is given by constructing lower and upper solutions and with the maximal theorem. Our nonlinearity f(t,u,v) may be singular at v,t=0 and/or t=1.