Advances in Difference Equations
Volume 2009 (2009), Article ID 389624, 18 pages
doi:10.1155/2009/389624
Research Article

On the Nonexistence and Existence of Solutions for a Fourth-Order Discrete Boundary Value Problem

Shenghuai Huang and Zhan Zhou

School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, China

Received 16 July 2009; Accepted 16 October 2009

Academic Editor: Patricia J. Y. Wong

Copyright © 2009 Shenghuai Huang and Zhan Zhou. 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.

Abstract

By using the critical point theory, we establish various sets of sufficient conditions on the nonexistence and existence of solutions for the boundary value problems of a class of fourth-order difference equations.