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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2014, Volume 14, Issue 4, Pages 32–43 (Mi vngu353)  
This article is cited in 1 scientific paper (total in 1 paper)

Estimates for Solutions to One Class of Nonlinear Systems of Neutral Type with Several Delays

G. V. Demidenkoab, I. I. Matveevaab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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Abstract: We consider a class of systems of nonlinear differential equations of neutral type with several delays. We obtain conditions of exponential stability of the zero solution and establish estimates characterizing exponential decay rate of solutions at infinity.
Keywords: systems of neutral type, several delays, exponential stability, Lyapunov–Krasovskii functional, estimates for solutions.
Received: 09.11.2014
English version:
Journal of Mathematical Sciences, 2016, Volume 213, Issue 6, Pages 811–822
DOI: https://doi.org/10.1007/s10958-016-2742-0
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: G. V. Demidenko, I. I. Matveeva, “Estimates for Solutions to One Class of Nonlinear Systems of Neutral Type with Several Delays”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 14:4 (2014), 32–43; J. Math. Sci., 213:6 (2016), 811–822
Citation in format AMSBIB
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\by G.~V.~Demidenko, I.~I.~Matveeva
\paper Estimates for Solutions to One Class of Nonlinear Systems of Neutral Type with Several Delays
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2014
\vol 14
\issue 4
\pages 32--43
\mathnet{http://mi.mathnet.ru/vngu353}
\transl
\jour J. Math. Sci.
\yr 2016
\vol 213
\issue 6
\pages 811--822
\crossref{https://doi.org/10.1007/s10958-016-2742-0}
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  • https://www.mathnet.ru/eng/vngu/v14/i4/p32
    • This publication is cited in the following 1 articles:
    1. G. V. Demidenko, I. I. Matveeva, Springer Proceedings in Mathematics & Statistics, 379, Functional Differential Equations and Applications, 2021, 145  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 :71
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