Journal of Applied Mathematics and Stochastic Analysis
Volume 5 (1992), Issue 3, Pages 275-281
Lyapunov stability theory for dynamic systems on time scales
Florida Institute of Technology, Department of Applied Mathematics, Melbourne 32901-6988, Florida, USA
Received 1 March 1992; Revised 1 July 1992
Copyright © 1992 Billur Kaymakçalan. 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.
By use of the necessary calculus and the fundamental existence
theory for dynamic systems on time scales, in this paper, we develop
Lyapunov's second method in the framework of general comparison
principle so that one can cover and include several stability results for
both types of equations at the same time.