IJPAM: Volume 34, No. 4 (2007)
UNIFORMLY AND ASYMPTOTIC STABILITY FOR TIME
VARYING DYNAMIC SYSTEM WITH LINEAR PART
ON TIME SCALES
VARYING DYNAMIC SYSTEM WITH LINEAR PART
ON TIME SCALES
I.B. Ya
ar
, M.T. Dastjerdi
Department of Mathematics
Faculty of Sciences and Arts
University of Gazi
Be
evler, Ankara, 06500, TURKEY
e-mail: irfany@gazi.edu.tr
Department of Mathematics
Faculty of Sciences
Unevirsity of Zanjan
Zanjan, 45195-313, IRAN
e-mail: tdast@yahoo.com




Faculty of Sciences and Arts
University of Gazi
Be

e-mail: irfany@gazi.edu.tr

Faculty of Sciences
Unevirsity of Zanjan
Zanjan, 45195-313, IRAN
e-mail: tdast@yahoo.com
Abstract.In this article by using the Lyapunov criteria, we
study conditions that the solutions of a time varying dynamic system
with linear part of the form
remain stable on
certain time scales.
Received: August 27, 2006
AMS Subject Classification: 37N35, 93D20
Key Words and Phrases: uniformly stability, exponential stability, time scales, Lyapunov system, dynamic system
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 34
Issue: 4