Publication date: 30 December 2022
Volume: Vol 57
Issue: Svezak 2
Pages: 265-280
DOI: https://doi.org/10.3336/gm.57.2.07
Glasnik matematički, Vol. 57 No. 2, 2022.
Original scientific paper
https://doi.org/10.3336/gm.57.2.07
Some Datko and Barbashin type characterizations for the uniform \(h\)-instability of evolution families
Tian Yue
orcid.org/0000-0003-2811-9444
; School of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, 442002 Shiyan, China
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.
Keywords
Uniform \(h\)-instability, evolution family, growth rate, Datko type theorem, Barbashin type theorem
Hrčak ID:
289608
URI
Publication date:
30.12.2022.
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