A Generalization for Theorems of Datko and Barbashin Type

The goal of the paper is to give some characterizations for the uniform exponential stability of evolution families by unifying the discrete-time versions of the Barbashin-type theorem and the Datko-type theorem.

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Main Author: Pham Viet Hai
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/517348
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author Pham Viet Hai
author_facet Pham Viet Hai
author_sort Pham Viet Hai
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description The goal of the paper is to give some characterizations for the uniform exponential stability of evolution families by unifying the discrete-time versions of the Barbashin-type theorem and the Datko-type theorem.
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spelling doaj-art-1e4cf070ba4a468eaa69a971545f964c2025-08-20T03:17:48ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/517348517348A Generalization for Theorems of Datko and Barbashin TypePham Viet Hai0MAS-SPMS, Nanyang Technological University, 21 Nanyang Link, 637371, SingaporeThe goal of the paper is to give some characterizations for the uniform exponential stability of evolution families by unifying the discrete-time versions of the Barbashin-type theorem and the Datko-type theorem.http://dx.doi.org/10.1155/2015/517348
spellingShingle Pham Viet Hai
A Generalization for Theorems of Datko and Barbashin Type
Journal of Function Spaces
title A Generalization for Theorems of Datko and Barbashin Type
title_full A Generalization for Theorems of Datko and Barbashin Type
title_fullStr A Generalization for Theorems of Datko and Barbashin Type
title_full_unstemmed A Generalization for Theorems of Datko and Barbashin Type
title_short A Generalization for Theorems of Datko and Barbashin Type
title_sort generalization for theorems of datko and barbashin type
url http://dx.doi.org/10.1155/2015/517348
work_keys_str_mv AT phamviethai ageneralizationfortheoremsofdatkoandbarbashintype
AT phamviethai generalizationfortheoremsofdatkoandbarbashintype