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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2004, Number 3, Pages 41–52 (Mi basm177)  
This article is cited in 3 scientific papers (total in 3 papers)

Research articles

Asymptotic Stability of autonomous and Non-Autonomous Discrete Linear Inclusions

D. Chebana, C. Mammanab

a Moldova State University, Department of Mathematics and Informatics, Chişinău, Moldova
b Institute of Economics and Finances, University of Macerata, Macerata, Italy
Full-text PDF (163 kB) Citations (3)
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Abstract: The article is devoted to the study of absolute asymptotic stability of discrete linear inclusions (both autonomous and non-autonomous) in Banach space. We establish the relation between absolute asymptotic stability, uniform asymptotic stability and uniform exponential stability. It is proved that for compact (completely continuous) discrete linear inclusions these notions of stability are equivalent. We study this problem in the framework of non-autonomous dynamical systems (cocyles).
Keywords and phrases: Absolute asymptotic stability, cocycles, set-valued dynamical systems, global attractors, uniform exponential stability, discrete linear inclusions.
Received: 12.12.2004
Bibliographic databases:
Document Type: Article
MSC: Primary 34C35, 34D20, 34D40, 34D45, 58F10, 58F12, 58F39; Secondary 35B35, 35B40
Language: English
Citation: D. Cheban, C. Mammana, “Asymptotic Stability of autonomous and Non-Autonomous Discrete Linear Inclusions”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2004, no. 3, 41–52
Citation in format AMSBIB
\Bibitem{CheMam04}
\by D.~Cheban, C.~Mammana
\paper Asymptotic Stability of autonomous and Non-Autonomous Discrete Linear Inclusions
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2004
\issue 3
\pages 41--52
\mathnet{http://mi.mathnet.ru/basm177}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2148008}
\zmath{https://zbmath.org/?q=an:1080.39006}
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  • https://www.mathnet.ru/eng/basm/y2004/i3/p41
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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