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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 4, Pages 612–620
DOI: https://doi.org/10.31857/S0044466920040122 (Mi zvmmf11060) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Estimates for exponential decay of solutions to one class of nonlinear systems of neutral type with periodic coefficients

I. I. Matveevaab

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
b Novosibirsk State University, Novosibirsk, 630090 Russia
Citations (17)
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DOI: https://doi.org/10.31857/S0044466920040122
Abstract: The class of nonlinear systems of delay differential equations with periodic coefficients in linear terms is considered. By using a special class of Lyapunov–Krasovskii functionals, conditions for the exponential stability of the zero solution are indicated and estimates characterizing the rate of exponential decay of solutions at infinity are obtained.
Key words: systems of neutral type, exponential stability, estimates of solutions, Lyapunov–Krasovskii functional.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 075-15-2019-1613
This work was 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: 14.11.2019
Revised: 14.11.2019
Accepted: 16.12.2019
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 4, Pages 601–609
DOI: https://doi.org/10.1134/S0965542520040120
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: I. I. Matveeva, “Estimates for exponential decay of solutions to one class of nonlinear systems of neutral type with periodic coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020), 612–620; Comput. Math. Math. Phys., 60:4 (2020), 601–609
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
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