Journal of Applied Mathematics and Stochastic Analysis 
Volume 9 (1996), Issue 1, Pages 69-75
doi:10.1155/S104895339600007X

Generalized practical stability results by perturbing Lyapunov functions

Donna Stutson and A. S. Vatsala

 University of Southwestern Louisiana, Department of Mathematics, Lafayette 70504-1010, LA, USA
Received 1 March 1995; Revised 1 August 1995

Abstract

It is known that practical stability is neither stronger nor weaker than Lyapunov stability. In this paper we combine perturbing Lyapunov technique with stability in terms of two measures to obtain nonuniform practical stability results under weaker assumptions. We also use comparison methods to obtain these results.