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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 2, Pages 344–352
DOI: https://doi.org/10.17377/smzh.2017.58.208 (Mi smj2863) 		 
This article is cited in 25 scientific papers (total in 25 papers)

On exponential stability of solutions to periodic neutral-type systems

I. I. Matveevaab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (247 kB) Citations (25)
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DOI: https://doi.org/10.17377/smzh.2017.58.208
Abstract: We consider periodic systems of delay equations. Exponential stability conditions for the zero solution are pointed out by using the Lyapunov–Krasovskiĭ functional. We give some estimates that characterize the decay rate of solutions at infinity.
Keywords: delay differential equation, periodic coefficient, exponential stability, estimate of solutions.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00592
The author was supported by the Russian Foundation for Basic Research (Grant 16-01-00592).
Received: 15.04.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 2, Pages 264–270
DOI: https://doi.org/10.1134/S0037446617020082
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
MSC: 35R30
Language: Russian
Citation: I. I. Matveeva, “On exponential stability of solutions to periodic neutral-type systems”, Sibirsk. Mat. Zh., 58:2 (2017), 344–352; Siberian Math. J., 58:2 (2017), 264–270
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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