Advances in Difference Equations
Volume 2006 (2006), Article ID 18157, 17 pages
doi:10.1155/ADE/2006/18157

Asymptotic stability for dynamic equations on time scales

Abstract

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.