Some Datko and Barbashin type characterizations for the uniform \(h\)-instability of evolution families-Reference-Cited by-同舟云学术

Some Datko and Barbashin type characterizations for the uniform \(h\)-instability of evolution families

Published:2022-12-30 Issue:2 Volume:57 Page:265-280
ISSN:0017-095X
Container-title:Glasnik Matematicki
language:
Short-container-title:Glas. Mat. Ser. III

Author:

Yue Tian,

Abstract

The aim of this paper is to give some Datko and Barbashin type characterizations for the uniform \(h\)-instability of evolution families in Banach spaces, by using some important sets of growth rates. We prove four characterization theorems of Datko type and two characterization theorems of Barbashin type for uniform \(h\)-instability. Variants for uniform \(h\)-instability of some well-known results in stability theory (Barbashin (1967), Datko (1972)) are obtained.

Publisher

University of Zagreb, Faculty of Science, Department of Mathematics

Subject

General Mathematics

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