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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2013, Volume 13, Issue 4, Pages 143–152 (Mi vngu320)  
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic Properties of Solutions to Systems of Differential Equations of Neutral Type in Time-Varying Delay Case

M. A. Skvortsovaab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (258 kB) Citations (2)
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Abstract: The paper is devoted to research of asymptotic stability of the zero solution to one class of systems of linear differential equations of neutral type in time-varying delay case. We obtain sufficient conditions of asymptotic stability of the zero solution and establish estimates of decay rate for solutions. The results have derived by the use of a modified Lyapunov–Krasovskii functional.
Keywords: systems of equations of neutral type, asymptotic stability, uniform estimates for solutions, modified Lyapunov–Krasovskii functional.
Received: 24.12.2012
English version:
Journal of Mathematical Sciences, 2015, Volume 205, Issue 3, Pages 455–463
DOI: https://doi.org/10.1007/s10958-015-2259-y
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: M. A. Skvortsova, “Asymptotic Properties of Solutions to Systems of Differential Equations of Neutral Type in Time-Varying Delay Case”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:4 (2013), 143–152; J. Math. Sci., 205:3 (2015), 455–463
Citation in format AMSBIB
\Bibitem{Skv13}
\by M.~A.~Skvortsova
\paper Asymptotic Properties of Solutions to Systems of Differential Equations of~Neutral Type in Time-Varying Delay Case
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2013
\vol 13
\issue 4
\pages 143--152
\mathnet{http://mi.mathnet.ru/vngu320}
\transl
\jour J. Math. Sci.
\yr 2015
\vol 205
\issue 3
\pages 455--463
\crossref{https://doi.org/10.1007/s10958-015-2259-y}
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  • https://www.mathnet.ru/eng/vngu/v13/i4/p143
    • This publication is cited in the following 2 articles:
    1. Yener Altun, “Stability estimates for a class of neutral type systems with distributed time-varying delay components”, Adv Cont Discr Mod, 2025:1 (2025)  crossref
    2. Brahim Benhammouda, Hector Vazquez-Leal, “A new multi-step technique with differential transform method for analytical solution of some nonlinear variable delay differential equations”, SpringerPlus, 5:1 (2016)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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    Full-text PDF :94
    References:51
    First page:7
     
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