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: 29 June 2006

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’ Affiliations

(1)
Institut für Mathematik, Johann Wolfgang Goethe Universität
(2)
Institut für Mathematik, Technische Universität Berlin

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Copyright

© P.E Kloeden and A. Zmorzynska. 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.