Nonuniform Exponential Trichotomy for Linear Discrete-Time Systems in Banach Spaces

The aim of this paper is to give several characterizations for nonuniform exponential trichotomy properties of linear difference equations in Banach spaces. Well-known results for exponential stability and exponential dichotomy are extended to the case of nonuniform exponential trichotomy.

Bibliographic Details
Main Authors: Xiao-qiu Song, Tian Yue, Dong-qing Li
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/645250
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spelling doaj-d3d2b27221144f8fbe25ca2ad72dc5a72020-11-25T00:52:18ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/645250645250Nonuniform Exponential Trichotomy for Linear Discrete-Time Systems in Banach SpacesXiao-qiu Song0Tian Yue1Dong-qing Li2College of Sciences, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaCollege of Sciences, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaCollege of Sciences, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaThe aim of this paper is to give several characterizations for nonuniform exponential trichotomy properties of linear difference equations in Banach spaces. Well-known results for exponential stability and exponential dichotomy are extended to the case of nonuniform exponential trichotomy.http://dx.doi.org/10.1155/2013/645250
collection DOAJ
language English
format Article
sources DOAJ
author Xiao-qiu Song
Tian Yue
Dong-qing Li
spellingShingle Xiao-qiu Song
Tian Yue
Dong-qing Li
Nonuniform Exponential Trichotomy for Linear Discrete-Time Systems in Banach Spaces
Journal of Function Spaces and Applications
author_facet Xiao-qiu Song
Tian Yue
Dong-qing Li
author_sort Xiao-qiu Song
title Nonuniform Exponential Trichotomy for Linear Discrete-Time Systems in Banach Spaces
title_short Nonuniform Exponential Trichotomy for Linear Discrete-Time Systems in Banach Spaces
title_full Nonuniform Exponential Trichotomy for Linear Discrete-Time Systems in Banach Spaces
title_fullStr Nonuniform Exponential Trichotomy for Linear Discrete-Time Systems in Banach Spaces
title_full_unstemmed Nonuniform Exponential Trichotomy for Linear Discrete-Time Systems in Banach Spaces
title_sort nonuniform exponential trichotomy for linear discrete-time systems in banach spaces
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
1758-4965
publishDate 2013-01-01
description The aim of this paper is to give several characterizations for nonuniform exponential trichotomy properties of linear difference equations in Banach spaces. Well-known results for exponential stability and exponential dichotomy are extended to the case of nonuniform exponential trichotomy.
url http://dx.doi.org/10.1155/2013/645250
work_keys_str_mv AT xiaoqiusong nonuniformexponentialtrichotomyforlineardiscretetimesystemsinbanachspaces
AT tianyue nonuniformexponentialtrichotomyforlineardiscretetimesystemsinbanachspaces
AT dongqingli nonuniformexponentialtrichotomyforlineardiscretetimesystemsinbanachspaces
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