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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 2, Pages 34–42 (Mi ivm8431)  
This article is cited in 9 scientific papers (total in 9 papers)

The first-approximation stability of a nonstationary system with delay

B. G. Grebenshchikov

Chair of Applied Mathematics, Ural Federal University, Ekaterinburg, Russia
Full-text PDF (178 kB) Citations (9)
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Abstract: We study the exponential stability of a nonlinear system of differential equations with constant delay such that the right-hand side of one of its subsystems contains the multiplier $e^t$. We obtain a sufficient condition for the first-approximation stability of this system.
Keywords: instability, asymptotic stability, exponential estimation, first approximation.
Received: 28.02.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 2, Pages 29–36
DOI: https://doi.org/10.3103/S1066369X12020041
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: B. G. Grebenshchikov, “The first-approximation stability of a nonstationary system with delay”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 2, 34–42; Russian Math. (Iz. VUZ), 56:2 (2012), 29–36
Citation in format AMSBIB
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\by B.~G.~Grebenshchikov
\paper The first-approximation stability of a~nonstationary system with delay
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 2
\pages 34--42
\mathnet{http://mi.mathnet.ru/ivm8431}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076527}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 2
\pages 29--36
\crossref{https://doi.org/10.3103/S1066369X12020041}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862679885}
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    • This publication is cited in the following 9 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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