Journal of Applied Mathematics and Stochastic Analysis 
Volume 5 (1992), Issue 4, Pages 331-337
doi:10.1155/S1048953392000285

On (h0,h)-stability of autonomous systems

Xinzhi Liu

 University of Waterloo, Department of Applied Mathematics, Ontario, Waterloo N2L 3G1, Canada
Received 1 August 1992; Revised 1 November 1992

Abstract

In this paper, we discuss the qualitative behavior of a map h along solutions of an autonomous system whose initial values are measured by a second map h0. By doing this, we may deal with, in a unified way, several concepts and associated problems, which are usually considered separately. Five theorems on asymptotic stability are given and two examples are worked out.