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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 2204–2215
DOI: https://doi.org/10.33048/semi.2020.17.146 (Mi semr1340) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Differentical equations, dynamical systems and optimal control

Estimates for solutions of one class to systems of nonlinear differential equations with distributed delay

T. Yskakab

a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Novosibirsk State University 1, Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2020.17.146
Abstract: In the paper we consider a system of nonlinear differential equations with distributed delay and periodic coefficients in linear terms. Sufficient conditions for exponential stability of the zero solution are established, estimates that characterize the rate of decay of solutions at infinity are obtained, and attraction sets of the zero solution are indicated. Similar results are obtained in the case of small perturbations in linear terms.
Keywords: exponential stability, Lyapunov - Krasovskii functional, nonlinear equation, distributed delay, periodic coefficients, perturbations in linear terms.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10086
19-31-90149
Received August 24, 2020, published December 25, 2020
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
MSC: 34K20
Language: Russian
Citation: T. Yskak, “Estimates for solutions of one class to systems of nonlinear differential equations with distributed delay”, Sib. Èlektron. Mat. Izv., 17 (2020), 2204–2215
Citation in format AMSBIB
\Bibitem{Ysk20}
\by T.~Yskak
\paper Estimates for solutions of one class to systems of nonlinear differential equations with distributed delay
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 2204--2215
\mathnet{http://mi.mathnet.ru/semr1340}
\crossref{https://doi.org/10.33048/semi.2020.17.146}
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