On Polynomial Dichotomy of Linear Discrete-Time Systems in Banach Spaces

被引：1
|
作者：
Tian YUE [1 ]
Guoliang LEI [1 ]
机构：
[1] School of Science,Hubei University of Automotive Technology
来源：
Journal of Mathematical Research with Applications | 2015年 / 35卷 / 05期
基金：
中央高校基本科研业务费专项资金资助;
关键词：
linear discrete-time systems; uniform polynomial dichotomy; polynomial dichotomy;
D O I：
暂无
中图分类号：
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号：
摘要：
This paper deals with two concepts of polynomial dichotomy for linear difference equations which are defined in a Banach space and whose norms can increase not faster than exponentially.Some illustrating examples clarify the relations between these concepts.Our approach is based on the extension of techniques for exponential dichotomy to the case of polynomial dichotomy.The obtained results are generalizations of well-known theorems about the exponential stability and exponential dichotomy.
引用
收藏
页码：543 / 550
页数：8
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