ON ROLEWICZ-ZABCZYK TECHNIQUES IN THE STABILITY THEORY OF DYNAMICAL SYSTEMS

被引：0

作者：

Sasu, Adina Luminita ^{[1
]}

Megan, Mihail ^{[1
]}

Sasu, Bogdan ^{[1
]}

机构：

[1] W Univ Timisoara, Fac Math & Comp Sci, Dept Math, Timisoara 300223, Romania

来源：

FIXED POINT THEORY | 2012年 / 13卷 / 01期

关键词：

variational difference equation; exponential stability; skew-product flow; translation invariant sequence space; EXPONENTIAL STABILITY; DICHOTOMY; OPERATORS; SEMIFLOWS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to present a general overview concerning the Rolewicz-Zabzczyk type techniques in the stability theory of dynamical systems. We discuss the main methods based or. trajectories that may be used in order to characterize the uniform exponential stability of variational discrete systems and their applications to the case of skew-product flows. Beside our technique used in the past decade on this topic, we also point out several new issues and analyze both their connections with previous results as well as some new characterizations for uniform exponential stability. Finally, motivated by the potential extension of the framework to dichotomy, we propose several open problems in the case of the exponential instability.

引用

页码：205 / 236

页数：32

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