On Weak Exponential Expansiveness of Evolution Families in Banach Spaces

The aim of this paper is to give several characterizations for the property of weak exponential expansiveness for evolution families in Banach spaces. Variants for weak exponential expansiveness of some well-known results in stability theory (Datko (1973), Rolewicz (1986), Ichikawa (1984), and Megan...

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Main Authors: Tian Yue, Xiao-qiu Song, Dong-qing Li
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/284630
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author Tian Yue
Xiao-qiu Song
Dong-qing Li
author_facet Tian Yue
Xiao-qiu Song
Dong-qing Li
author_sort Tian Yue
collection DOAJ
description The aim of this paper is to give several characterizations for the property of weak exponential expansiveness for evolution families in Banach spaces. Variants for weak exponential expansiveness of some well-known results in stability theory (Datko (1973), Rolewicz (1986), Ichikawa (1984), and Megan et al. (2003)) are obtained.
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institution Kabale University
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language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-752a91baa19a4a03b08859c155acc6c82025-02-03T01:32:49ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/284630284630On Weak Exponential Expansiveness of Evolution Families in Banach SpacesTian Yue0Xiao-qiu Song1Dong-qing Li2College of Science, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaCollege of Science, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaCollege of Science, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaThe aim of this paper is to give several characterizations for the property of weak exponential expansiveness for evolution families in Banach spaces. Variants for weak exponential expansiveness of some well-known results in stability theory (Datko (1973), Rolewicz (1986), Ichikawa (1984), and Megan et al. (2003)) are obtained.http://dx.doi.org/10.1155/2013/284630
spellingShingle Tian Yue
Xiao-qiu Song
Dong-qing Li
On Weak Exponential Expansiveness of Evolution Families in Banach Spaces
The Scientific World Journal
title On Weak Exponential Expansiveness of Evolution Families in Banach Spaces
title_full On Weak Exponential Expansiveness of Evolution Families in Banach Spaces
title_fullStr On Weak Exponential Expansiveness of Evolution Families in Banach Spaces
title_full_unstemmed On Weak Exponential Expansiveness of Evolution Families in Banach Spaces
title_short On Weak Exponential Expansiveness of Evolution Families in Banach Spaces
title_sort on weak exponential expansiveness of evolution families in banach spaces
url http://dx.doi.org/10.1155/2013/284630
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AT xiaoqiusong onweakexponentialexpansivenessofevolutionfamiliesinbanachspaces
AT dongqingli onweakexponentialexpansivenessofevolutionfamiliesinbanachspaces