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Sibirskii Zhurnal Industrial'noi Matematiki, 2011, Volume 14, Number 1, Pages 83–92 (Mi sjim653)  
This article is cited in 8 scientific papers (total in 8 papers)

Estimates for solutions to differential equations with delayed argument and parameters

I. I. Matveevaab, A. A. Shcheglovac

a Institute of Mathematics SB RAS, Novosibirsk, RUSSIA
b Novosibirsk State University, Novosibirsk, RUSSIA
c Institute Systems Dynamics and Control Theory SB RAS, Irkutsk, RUSSIA
Full-text PDF (234 kB) Citations (8)
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Abstract: We consider systems of quasilinear differential equations with delayed argument and periodic coefficients and parameters. We establish sufficient conditions for the asymptotic stability of zero solutions and obtain estimates for the solutions characterizing their decay rates at infinity.
Keywords: equations with delayed argument, periodic coefficients, asymptotic stability, Lyapunov–Krasovskii functional.
Received: 01.04.2010
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 3, Pages 391–399
DOI: https://doi.org/10.1134/S1990478911030112
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: I. I. Matveeva, A. A. Shcheglova, “Estimates for solutions to differential equations with delayed argument and parameters”, Sib. Zh. Ind. Mat., 14:1 (2011), 83–92; J. Appl. Industr. Math., 5:3 (2011), 391–399
Citation in format AMSBIB
\Bibitem{MatShc11}
\by I.~I.~Matveeva, A.~A.~Shcheglova
\paper Estimates for solutions to differential equations with delayed argument and parameters
\jour Sib. Zh. Ind. Mat.
\yr 2011
\vol 14
\issue 1
\pages 83--92
\mathnet{http://mi.mathnet.ru/sjim653}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2951446}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 3
\pages 391--399
\crossref{https://doi.org/10.1134/S1990478911030112}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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