Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 82027, 8 pages
Solution Estimates for Semilinear Difference-Delay Equations with Continuous Time
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
Copyright © 2007 Michael Gil' and Sui Sun Cheng. 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.
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.