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Asymptotic stability for dynamic equations on time scales

Advances in Difference Equations volume 2006, Article number: 018157 (2006) Cite this article

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.

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Authors and Affiliations

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

    Gro Hovhannisyan

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  1. Gro Hovhannisyan
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Correspondence to Gro Hovhannisyan.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Hovhannisyan, G. Asymptotic stability for dynamic equations on time scales. Adv Differ Equ 2006, 018157 (2006). https://doi.org/10.1155/ADE/2006/18157

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  • DOI: https://doi.org/10.1155/ADE/2006/18157

Keywords

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