On the robustness of some general concepts of dichotomy and trichotomy for evolution operators in Banach spaces

Crai Violeta: On the robustness of some general concepts of dichotomy and trichotomy for evolution operators in Banach spaces. In: Acta scientiarum mathematicarum, (83) 3-4. pp. 487-509. (2017)

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Abstract

The paper studies the robustness of a general notion of trichotomy, referred to as “nonuniform (h, k, µ, ν)-trichotomy”. This means that any sufficiently small linear perturbation of a nonuniform (h, k, µ, ν)-trichotomy has the same asymptotic behavior as the original trichotomy. This result will be obtained as a consequence of two other important results: the robustness of dichotomy and the equivalence between a trichotomy and two dichotomies.

Item Type:	Article
Journal or Publication Title:	Acta scientiarum mathematicarum
Date:	2017
Volume:	83
Number:	3-4
ISSN:	0001-6969
Page Range:	pp. 487-509
Language:	English
Contributors:	Contribution Name UNSPECIFIED Hatvani L.
Publisher:	Bolyai Institute, University of Szeged
Place of Publication:	Szeged
Official URL:	http://www.acta.hu
Related URLs:	http://acta.bibl.u-szeged.hu/50020/
DOI:	10.14232/actasm-016-785-9
Uncontrolled Keywords:	Matematika
Additional Information:	Bibliogr.: p. 507-509. ; összefoglalás angol nyelven
Subjects:	01. Natural sciences 01. Natural sciences > 01.01. Mathematics
Date Deposited:	2018. Feb. 09. 21:56
Last Modified:	2026. Feb. 24. 08:10
URI:	http://acta.bibl.u-szeged.hu/id/eprint/50048

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