Open Access
november 2010 An extension of a theorem of E. A. Barbashin to the dichotomy of abstract evolution operators
Ciprian Preda, Petre Preda
Bull. Belg. Math. Soc. Simon Stevin 17(4): 705-715 (november 2010). DOI: 10.36045/bbms/1290608196

Abstract

A necessary and sufficient condition for the uniform exponential dichotomy is pointed out using a discrete-time argument. Thus are extended known results due to Barbashin, Datko, Lovelady, Pazy[13], Preda.

Citation

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Ciprian Preda. Petre Preda. "An extension of a theorem of E. A. Barbashin to the dichotomy of abstract evolution operators." Bull. Belg. Math. Soc. Simon Stevin 17 (4) 705 - 715, november 2010. https://doi.org/10.36045/bbms/1290608196

Information

Published: november 2010
First available in Project Euclid: 24 November 2010

zbMATH: 1221.34142
MathSciNet: MR2778446
Digital Object Identifier: 10.36045/bbms/1290608196

Subjects:
Primary: 34D05 , 47D06

Keywords: Evolution families , uniform exponential dichotomy

Rights: Copyright © 2010 The Belgian Mathematical Society

Vol.17 • No. 4 • november 2010
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