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  • Research Article
  • Open Access

Asymptotic stability for dynamic equations on time scales

Advances in Difference Equations20062006:018157

  • Received: 29 December 2005
  • Accepted: 7 April 2006
  • Published:


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.


  • Differential Equation
  • Error Estimate
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis


Authors’ Affiliations

Department of Mathematics, Kent State University, Stark Campus, 6000 Frank Avenue, NW, Canton, OH 44720-7599, USA


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© Gro Hovhannisyan. 2006

This article is published under license to BioMed Central Ltd. 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.