On(h0,h)-stability of autonomous systems

[摘要] In this paper, we discuss the qualitative behavior of a maphalong solutions of an autonomous system whose initial values are measured by a second maph0. 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 givenand two examples are worked out.

[学科分类] 应用数学