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Advances in Difference Equations

, 2006:018157 | Cite as

Asymptotic stability for dynamic equations on time scales

  • Gro Hovhannisyan
Open Access
Research Article
Part of the following topical collections:
  1. Dynamic Equations with Applications

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.

Keywords

Differential Equation Error Estimate Partial Differential Equation Ordinary Differential Equation Functional Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© 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.

Authors and Affiliations

  1. 1.Department of MathematicsKent State UniversityCantonUSA

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