Boundary Value Problems
Volume 2008 (2008), Article ID 320603, 14 pages
Existence of Three Monotone Solutions of Nonhomogeneous Multipoint BVPs for Second-Order Differential Equations
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 -Laplacian. Sufficient conditions to guarantee
the existence of at least three solutions (may be not positive) of these BVPs are established.