Advances in Difference Equations
Volume 2006 (2006), Article ID 18157, 17 pages
Asymptotic stability for dynamic equations on time scales
Department of Mathematics, Kent State University, Stark Campus, 6000 Frank Avenue, NW, Canton 44720-7599, OH, USA
Received 29 December 2005; Revised 5 April 2006; Accepted 7 April 2006
Copyright © 2006 Gro Hovhannisyan. 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 examine the conditions of asymptotic stability of second-order linear dynamic equations on time scales. To establish asymptotic stability we prove the stability estimates by using integral representations of the solutions via asymptotic solutions, error estimates, and calculus on time scales.