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  • Research Article
  • Open Access

Lyapunov functions for linear nonautonomous dynamical equations on time scales

Advances in Difference Equations20062006:069106

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

  • Received: 25 January 2006
  • Accepted: 13 April 2006
  • Published:

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.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation

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Authors’ Affiliations

(1)
Institut für Mathematik, Johann Wolfgang Goethe Universität, Frankfurt am Main 60054, Germany
(2)
Institut für Mathematik, Technische Universität Berlin, Berlin, 10623, Germany

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