Advances in Difference Equations
Volume 2009 (2009), Article ID 104310, 13 pages
doi:10.1155/2009/104310
Exponential stability of difference equations with several delays: recursive approach
Leonid Berezansky1
and Elena Braverman2
1Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
2Department of Mathematics and Statistics, University of Calgary, 2500 University Drive N.W., Calgary AB, T2N 1N4, Canada
Abstract
We obtain new explicit exponential stability results for difference equations with several variable delays and variable coefficients. Several known results, such as Clark's asymptotic stability criterion, are generalized and extended to a new class of equations.