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