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Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 3, Pages 53–60 (Mi sjim792)  
This article is cited in 13 scientific papers (total in 13 papers)

Estimates of solutions to linear differential equations of neutral type with several delays of argument

G. V. Demidenkoab, E. S. Vodop'yanova, M. A. Skvortsovaab

a Sobolev Institute of Mathematics SD RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk
Full-text PDF (209 kB) Citations (13)
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Abstract: We consider a system of linear differential equations of neutral type with several delays of argument. We obtain conditions on the matrix coefficients of the system under which all its solutions decay exponentially at infinity. Using functionals of Lyapunov–Krasovskii type, we establish uniform estimates of solutions.
Keywords: equations of neutral type, asymptotic stability, Lyapunov–Krasovskii functional.
Received: 22.05.2013
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 4, Pages 472–479
DOI: https://doi.org/10.1134/S1990478913040030
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: G. V. Demidenko, E. S. Vodop'yanov, M. A. Skvortsova, “Estimates of solutions to linear differential equations of neutral type with several delays of argument”, Sib. Zh. Ind. Mat., 16:3 (2013), 53–60; J. Appl. Industr. Math., 7:4 (2013), 472–479
Citation in format AMSBIB
\Bibitem{DemVodSkv13}
\by G.~V.~Demidenko, E.~S.~Vodop'yanov, M.~A.~Skvortsova
\paper Estimates of solutions to linear differential equations of neutral type with several delays of argument
\jour Sib. Zh. Ind. Mat.
\yr 2013
\vol 16
\issue 3
\pages 53--60
\mathnet{http://mi.mathnet.ru/sjim792}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3234773}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 4
\pages 472--479
\crossref{https://doi.org/10.1134/S1990478913040030}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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