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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 3, Pages 59–70 (Mi sjim845)  

This article is cited in 14 scientific papers (total in 14 papers)

On the exponential stability of solutions to one class of differential equations of neutral type

G. V. Demidenkoab, I. I. Matveevaab

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk
References:
Abstract: We consider systems of delay differential equations of neutral type. New estimates are obtained that characterize the exponential decay rate of solutions at infinity.
Keywords: delay differential equation, exponential stability, Lyapunov–Krasovskii functional, estimate for solutions.
Received: 07.06.2014
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 4, Pages 510–520
DOI: https://doi.org/10.1134/S1990478914040073
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: G. V. Demidenko, I. I. Matveeva, “On the exponential stability of solutions to one class of differential equations of neutral type”, Sib. Zh. Ind. Mat., 17:3 (2014), 59–70; J. Appl. Industr. Math., 8:4 (2014), 510–520
Citation in format AMSBIB
\Bibitem{DemMat14}
\by G.~V.~Demidenko, I.~I.~Matveeva
\paper On the exponential stability of solutions to one class of differential equations of neutral type
\jour Sib. Zh. Ind. Mat.
\yr 2014
\vol 17
\issue 3
\pages 59--70
\mathnet{http://mi.mathnet.ru/sjim845}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364406}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 4
\pages 510--520
\crossref{https://doi.org/10.1134/S1990478914040073}
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  • https://www.mathnet.ru/eng/sjim/v17/i3/p59
  • This publication is cited in the following 14 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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    References:69
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