One-sided dichotomies versus two-sided dichotomies: arbitrary growth rates

被引：0
|
作者：
Barreira, Luis [1 ]
Dragicevic, Davor [2 ]
Valls, Claudia [1 ]
机构：
[1] Univ Lisbon, Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal
[2] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
来源：
QUAESTIONES MATHEMATICAE | 2017年 / 40卷 / 03期
基金：
澳大利亚研究理事会;
关键词：
Growth rates; nonuniform exponential dichotomies;
D O I：
10.2989/16073606.2017.1289483
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain necessary and sufficient conditions for the existence of two-sided nonuniform exponential dichotomies with arbitrary growth rates in terms of the existence of one-sided nonuniform exponential dichotomies on the past and on the future. We consider both linear nonautonomous dynamics with discrete and continuous time, on an arbitrary Banach space.
引用
收藏
页码：381 / 390
页数：10
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