Advances in Difference Equations
Volume 2009 (2009), Article ID 347291, 18 pages
doi:10.1155/2009/347291
Research Article

Inequalities among Eigenvalues of Second-Order Difference Equations with General Coupled Boundary Conditions

Chao Zhang and Shurong Sun

School of Science, University of Jinan, Jinan, Shandong 250022, China

Received 11 February 2009; Accepted 11 May 2009

Academic Editor: Johnny Henderson

Copyright © 2009 Chao Zhang and Shurong Sun. 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

This paper studies general coupled boundary value problems for second-order difference equations. Existence of eigenvalues is proved, numbers of their eigenvalues are calculated, and their relationships between the eigenvalues of second-order difference equation with three different coupled boundary conditions are established.