Journal of Applied Mathematics and Stochastic Analysis 
Volume 5 (1992), Issue 3, Pages 275-281
doi:10.1155/S1048953392000224

Lyapunov stability theory for dynamic systems on time scales

Billur Kaymakçalan

 Florida Institute of Technology, Department of Applied Mathematics, Melbourne 32901-6988, Florida, USA
Received 1 March 1992; Revised 1 July 1992

Abstract

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.