Exponential splitting for nonautonomous linear discrete-time systems in Banach spaces

被引：4

作者：

Megan, Mihail ^{[1
,2
]}

Popa, Ioan-Lucian ^{[3
]}

机构：

[1] Acad Romanian Scientists, Independentei 54, Bucharest 050094, Romania

[2] West Univ Timisoara, Fac Math & Comp Sci, Dept Math, V Parvan Blv 4, Timisoara 300223, Romania

[3] 1 Decembrie 1918 Univ Alba Iulia, Fac Exact Sci & Engn, Dept Math, Alba Iulia 510009, Romania

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2017年 / 312卷

关键词：

Nonautonomous linear discrete-time systems; Exponential splitting; Strong exponential splitting; LYAPUNOV SEQUENCES; DICHOTOMY; CRITERIA;

D O I：

10.1016/j.cam.2016.03.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider some concepts of exponential splitting for nonautonomous linear discrete-time systems. These concepts are generalizations of some well-known concepts of (uniform and nonuniform) exponential dichotomies. Connections between these concepts are presented and some illustrating examples prove that these are distinct. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：181 / 191

页数：11

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