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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 1689–1697
DOI: https://doi.org/10.33048/semi.2021.18.128 (Mi semr1469) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Differentical equations, dynamical systems and optimal control

Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays

I. I. Matveevaab

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.2021.18.128
Abstract: We consider a class of nonlinear systems of nonautonomous differential equations with time-varying concentrated and distributed delays than can be unbounded. Using a Lyapunov – Krasovskii functional, some estimates of solutions are established. The obtained estimates allow us to conclude whether the solutions are stable. In the case of exponential and asymptotic stability, stabilization rates of the solutions at infinity are pointed out.
Keywords: time-varying delay systems, variable coefficients, estimates for solutions, stability, Lyapunov – Krasovskii functional.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
The work is supported by the Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation.
Received October 26, 2021, published December 28, 2021
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
MSC: 34K20
Language: English
Citation: I. I. Matveeva, “Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1689–1697
Citation in format AMSBIB
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\paper Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays
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\vol 18
\issue 2
\pages 1689--1697
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\crossref{https://doi.org/10.33048/semi.2021.18.128}
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    • This publication is cited in the following 3 articles:
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