Boundary Value Problems
Volume 2008 (2008), Article ID 320603, 14 pages
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

Academic Editor: Jean Mawhin

Copyright © 2008 Xingyuan Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.