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Sibirskii Zhurnal Industrial'noi Matematiki, 2021, Volume 24, Number 2, Pages 148–159
DOI: https://doi.org/10.33048/SIBJIM.2021.24.212 (Mi sjim1137) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On estimates of solutions to systems of nonlinear differential equations with distributed delay and periodic coefficients in the linear terms

T. Yskakab

a Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia
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DOI: https://doi.org/10.33048/SIBJIM.2021.24.212
Abstract: We consider a system of nonlinear differential equations with distributed delay and periodic coefficients in the linear terms. Some sufficient conditions for the exponential decay of solutions are established, and the estimates characterizing the rate of decay of solutions at infinity are obtained.
Keywords: nonlinear differential equation, distributed delay, periodic coefficient, exponential decay of a solution, estimation of solution, Lyapunov–Krasovskiĭ functional. .
Funding agency Grant number
Russian Foundation for Basic Research 19-31-90149
The author is deeply indebted to G. V. Demidenko, I. I. Matveeva, and M. A. Skvortsova for their attention and valuable advice.
Received: 25.08.2020
Revised: 17.02.2021
Accepted: 15.04.2021
English version:
Journal of Applied and Industrial Mathematics, 2021, Volume 15, Issue 2, Pages 355–364
DOI: https://doi.org/10.1134/S1990478921020174
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: T. Yskak, “On estimates of solutions to systems of nonlinear differential equations with distributed delay and periodic coefficients in the linear terms”, Sib. Zh. Ind. Mat., 24:2 (2021), 148–159; J. Appl. Industr. Math., 15:2 (2021), 355–364
Citation in format AMSBIB
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\by T.~Yskak
\paper On estimates of solutions to systems of nonlinear differential equations with distributed delay and periodic coefficients in the linear terms
\jour Sib. Zh. Ind. Mat.
\yr 2021
\vol 24
\issue 2
\pages 148--159
\mathnet{http://mi.mathnet.ru/sjim1137}
\crossref{https://doi.org/10.33048/SIBJIM.2021.24.212}
\elib{https://elibrary.ru/item.asp?id=47509152}
\transl
\jour J. Appl. Industr. Math.
\yr 2021
\vol 15
\issue 2
\pages 355--364
\crossref{https://doi.org/10.1134/S1990478921020174}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85116253698}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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