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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 8, Pages 24–33 (Mi ivm8815)  
This article is cited in 2 scientific papers (total in 2 papers)

The asymptotic stability of a nonstationary system with delay

B. G. Grebenshchikov

Chair of Applied Mathematics, Ural Federal University, 19 Mira str., Ekaterinburg, 620002 Russia
Full-text PDF (197 kB) Citations (2)
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Abstract: In this paper we study the exponential stability of a linear system of differential equations with a constant delay such that the right-hand side of one of its subsystems contains the multiplier in the form of an exponent. We establish sufficient conditions for the existence of an asymptotically periodic solution to the inhomogeneous system.
Keywords: asymptotic stability, exponential bound, asymptotically periodic solution.
Received: 02.05.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 8, Pages 20–28
DOI: https://doi.org/10.3103/S1066369X13080033
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: B. G. Grebenshchikov, “The asymptotic stability of a nonstationary system with delay”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 8, 24–33; Russian Math. (Iz. VUZ), 57:8 (2013), 20–28
Citation in format AMSBIB
\Bibitem{Gre13}
\by B.~G.~Grebenshchikov
\paper The asymptotic stability of a~nonstationary system with delay
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 8
\pages 24--33
\mathnet{http://mi.mathnet.ru/ivm8815}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 8
\pages 20--28
\crossref{https://doi.org/10.3103/S1066369X13080033}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84881319731}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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