Lyapunov functions for linear nonautonomous dynamical equations on time scales

  • 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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Metadaten
Author:Peter E. Kloeden, Alexandra Zmorzynska
URN:urn:nbn:de:hebis:30-31017
DOI:https://doi.org/10.1155/ADE/2006/69106
ISSN:1687-1847
ISSN:1687-1839
Parent Title (English):Advances in difference equations
Publisher:Hindawi
Place of publication:New York, NY
Document Type:Article
Language:English
Date of Publication (online):2006/08/25
Year of first Publication:2006
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2006/08/25
Volume:2006
Issue:Article ID 69106
Page Number:10
First Page:1
Last Page:10
Note:
Copyright © 2006 P. E. Kloeden and A. Zmorzynska. 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.

Peter E. Kloeden and Alexandra Zmorzynska, “Lyapunov functions for linear nonautonomous dynamical equations on time scales,” Advances in Difference Equations, vol. 2006, Article ID 69106, 10 pages, 2006.
HeBIS-PPN:189820403
Institutes:Informatik und Mathematik / Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):License LogoCreative Commons - Namensnennung 3.0