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

Existence of three monotone solutions of nonhomogeneous multipoint BVPs for second-order differential equations

Xingyuan Liu

Department of Mathematics, Shaoyang University, Shaoyang 422000, China

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.