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ScientificWorldJournal. 2013 Jul 25;2013:284630. doi: 10.1155/2013/284630. eCollection 2013.

On weak exponential expansiveness of evolution families in Banach spaces.

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1
College of Science, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China.

Abstract

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.

PMID:
23983627
PMCID:
PMC3745963
DOI:
10.1155/2013/284630
[Indexed for MEDLINE]
Free PMC Article
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