Lyapunov stability for semigroup actions

被引：19

作者：

Braga Barros, Carlos J. ^{[1
]}

Souza, Josiney A. ^{[1
]}

Rocha, Victor H. L. ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil

来源：

SEMIGROUP FORUM | 2014年 / 88卷 / 01期

关键词：

Lyapunov stability; Semigroup action; Tychonoff space; SETS;

D O I：

10.1007/s00233-013-9527-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce a theory of Lyapunov stability of sets for semigroup actions on Tychonoff spaces. We also present the main properties and the main results relating these new concepts. We generalize several concepts and results of Lyapunov stable sets from Bhatia and Hajek (Local Semi-Dynamical Systems. Lecture Notes in Mathematics, vol. 90. Springer, Berlin, 1969), Bhatia and Szego (Dynamical Systems: Stability Theory and Applications. Lecture Notes in Mathematics, vol. 35. Springer, Berlin, 1967; and Stability Theory of Dynamical Systems. Springer, Berlin, 1970).

引用

页码：227 / 249

页数：23

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