Volume 2007, Issue 1 082027
Research Article
Open Access

Solution Estimates for Semilinear Difference-Delay Equations with Continuous Time

Michael Gil′

Michael Gil′

Department of Mathematics, Ben-Gurion University, P.O. Box 653, Beer Sheva 84105, Israel bgu.ac.il

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Sui Sun Cheng

Sui Sun Cheng

Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, Taiwan nthu.edu.tw

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First published: 04 October 2007
Citations: 5

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.

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