TY - JOUR A1 - Kloeden, Peter E. A1 - Zmorzynska, Alexandra T1 - Lyapunov functions for linear nonautonomous dynamical equations on time scales T2 - Advances in difference equations N2 - 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. Y1 - 2006 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/2299 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30-31017 SN - 1687-1847 SN - 1687-1839 N1 - 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. VL - 2006 IS - Article ID 69106 SP - 1 EP - 10 PB - Hindawi CY - New York, NY ER -