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Barbashin type characterizations for the uniform polynomial stability and instability of evolution families

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Published/Copyright: September 23, 2022
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Abstract

The aim of this paper is to give some discrete and continuous versions of Barbashin type theorems for the uniform polynomial stability and instability of evolution families in Banach spaces, by using Banach sequence spaces in ( 1 ) and Banach function spaces in ( 1 ) , respectively. Variants for uniform polynomial stability and instability of some well-known results in the exponential stability theory and polynomial stability theory are obtained.

MSC 2010: 34D05; 34D20; 46E30

Acknowledgements

The author is sincerely grateful to the editor and referees for carefully reading the manuscript and for valuable suggestions which led to the improvement of this paper.

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Received: 2022-01-15
Revised: 2022-04-12
Accepted: 2022-04-19
Published Online: 2022-09-23
Published in Print: 2022-12-01

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