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Lyapunov functions for linear nonautonomous dynamical equations on time scales

Advances in Difference Equations volume 2006, Article number: 069106 (2006) Cite this article

Abstract

The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly bounded graininess.

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Authors and Affiliations

  1. Institut für Mathematik, Johann Wolfgang Goethe Universität, Frankfurt am Main 60054, Germany

    Peter E Kloeden

  2. Institut für Mathematik, Technische Universität Berlin, Berlin, 10623, Germany

    Alexandra Zmorzynska

Authors
  1. Peter E Kloeden
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  2. Alexandra Zmorzynska
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Correspondence to Peter E Kloeden.

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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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Kloeden, P.E., Zmorzynska, A. Lyapunov functions for linear nonautonomous dynamical equations on time scales. Adv Differ Equ 2006, 069106 (2006). https://doi.org/10.1155/ADE/2006/69106

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  • DOI: https://doi.org/10.1155/ADE/2006/69106

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