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Sibirskii Zhurnal Industrial'noi Matematiki, 2019, Volume 22, Number 3, Pages 118–127
DOI: https://doi.org/10.33048/sibjim.2019.22.311 (Mi sjim1059) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the stability of systems of linear differential equations of neutral type with distributed delay

T. Yskakab

a Sobolev Institute of Mathematics SB RAS, pr. Akad. Koptyuga 4, 630090 Novosibirsk
b Novosibirsk State University, ul. Pirogova 1, 630090 Novosibirsk
Full-text PDF (206 kB) Citations (3)
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DOI: https://doi.org/10.33048/sibjim.2019.22.311
Abstract: We consider one class of systems of nonautonomous linear differential equations of neutral type with distributed delay. We obtain sufficient conditions for the exponential stability of the zero solution and conditions on perturbations of the coefficients under which the exponential stability of the zero solution is preserved. Using a Lyapunov–Krasovskiĭ functional of a special kind, we prove some estimates that characterize the exponential decay of solutions at infinity.
Keywords: system of neutral type, distributed delay, periodic coefficients, exponential stability, Lyapunov–Krasovskiĭ functional.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10086_мк
Received: 07.05.2019
Revised: 31.05.2019
Accepted: 13.06.2019
English version:
Journal of Applied and Industrial Mathematics, 2019, Volume 13, Issue 3, Pages 575–583
DOI: https://doi.org/10.1134/S1990478919030177
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: T. Yskak, “On the stability of systems of linear differential equations of neutral type with distributed delay”, Sib. Zh. Ind. Mat., 22:3 (2019), 118–127; J. Appl. Industr. Math., 13:3 (2019), 575–583
Citation in format AMSBIB
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\by T.~Yskak
\paper On the stability of systems of linear differential equations of neutral type with distributed delay
\jour Sib. Zh. Ind. Mat.
\yr 2019
\vol 22
\issue 3
\pages 118--127
\mathnet{http://mi.mathnet.ru/sjim1059}
\crossref{https://doi.org/10.33048/sibjim.2019.22.311
}
\elib{https://elibrary.ru/item.asp?id=41633991}
\transl
\jour J. Appl. Industr. Math.
\yr 2019
\vol 13
\issue 3
\pages 575--583
\crossref{https://doi.org/10.1134/S1990478919030177}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85071458400}
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  • https://www.mathnet.ru/eng/sjim1059
  • https://www.mathnet.ru/eng/sjim/v22/i3/p118
    • This publication is cited in the following 3 articles:
    1. G. V. Demidenko, I. I. Matveeva, Springer Proceedings in Mathematics & Statistics, 379, Functional Differential Equations and Applications, 2021, 145  crossref
    2. T. Yskak, “Stability of Solutions to One Class of Neutral Type Systems of Linear Autonomous Equations with Distributed Delay”, Lobachevskii J Math, 42:14 (2021), 3561  crossref
    3. T. K. Yskak, “Estimates For Solutions of One Class of Systems of Equations of Neutral Type With Distributed Delay”, Sib. Electron. Math. Rep., 17 (2020), 416–427  mathnet  crossref  mathscinet  zmath  isi  scopus
    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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