Advances in Difference Equations
Volume 2010 (2010), Article ID 795145, 14 pages
doi:10.1155/2010/795145
Research Article

Nonlinear Delay Discrete Inequalities and Their Applications to Volterra Type Difference Equations

Yu Wu,1 Xiaopei Li,2 and Shengfu Deng3

1Yibin University, Yibin, Sichuan 644007, China
2Department of Mathematics, Zhanjiang Normal University, Zhanjiang, Guangdong 524048, China
3Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, China

Received 7 September 2009; Accepted 14 January 2010

Academic Editor: Abdelkader Boucherif

Copyright © 2010 Yu Wu et al. 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

Delay discrete inequalities with more than one nonlinear term are discussed, which generalize some known results and can be used in the analysis of various problems in the theory of certain classes of discrete equations. Application examples to show boundedness and uniqueness of solutions of a Volterra type difference equation are also given.