Discrete Dynamics in Nature and Society 
Volume 2007 (2007), Article ID 82027, 8 pages
doi:10.1155/2007/82027
Research Article

Solution Estimates for Semilinear Difference-Delay Equations with Continuous Time

Michael Gil'1 and Sui Sun Cheng2

1Department of Mathematics, Ben-Gurion University, P.O. Box 653, Beer Sheva 84105, Israel
2Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, Taiwan

Received 5 July 2007; Accepted 11 August 2007

Abstract

We consider semilinear difference-delay equations with continuous time in a Euclidean space. Estimates are found for the solutions. Such estimates are then applied to obtain the stability and boundedness criteria for solutions.