Boundary Value Problems 
Volume 2008 (2008), Article ID 320603, 14 pages
doi:10.1155/2008/320603
Research Article

Existence of Three Monotone Solutions of Nonhomogeneous Multipoint BVPs for Second-Order Differential Equations

Xingyuan Liu

 Department of Mathematics, Shaoyang University, Shaoyang 422000, China
Received 9 March 2008; Revised 18 June 2008; Accepted 7 July 2008

Recommended by Jean Mawhin

Abstract

This paper is concerned with nonhomogeneous multipoint boundary value problems of second-order differential equations with one-dimensional p-Laplacian. Sufficient conditions to guarantee the existence of at least three solutions (may be not positive) of these BVPs are established.