Advances in Difference Equations
Volume 2010 (2010), Article ID 795145, 14 pages
doi:10.1155/2010/795145
Nonlinear delay discrete inequalities and their applications to Volterra type difference equations
Yu Wu1
, Xiaopei Li2
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
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.