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.
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2013-01-01
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Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2013/645250 |
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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 |
_version_ |
1725243019535319040 |