Advances in Difference Equations
Volume 2010 (2010), Article ID 317416, 24 pages
doi:10.1155/2010/317416
Research Article

Inequalities among Eigenvalues of Second-Order Symmetric Equations on Time Scales

Chao Zhang and Shurong Sun

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

Received 28 January 2010; Revised 2 May 2010; Accepted 5 May 2010

Academic Editor: A. Pankov

Copyright © 2010 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

We consider coupled boundary value problems for second-order symmetric equations on time scales. Existence of eigenvalues of this boundary value problem is proved, numbers of their eigenvalues are calculated, and their relationships are obtained. These results not only unify the existing ones of coupled boundary value problems for second-order symmetric differential equations but also contain more complicated time scales.