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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 5, Pages 1059–1077 (Mi smj2588)  
This article is cited in 32 scientific papers (total in 32 papers)

On estimates of solutions to systems of differential equations of neutral type with periodic coefficients

G. V. Demidenkoab, I. I. Matveevaab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (342 kB) Citations (32)
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Abstract: We study the systems of differential equations of neutral type with periodic coefficients. We establish sufficient conditions for the asymptotic stability of the zero solution and obtain estimates for solutions which characterize the decay rate at infinity.
Keywords: delay differential equations, periodic solutions, exponential stability, Lyapunov–Krasovskiĭ functional, estimates for solutions.
Received: 14.03.2014
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 5, Pages 866–881
DOI: https://doi.org/10.1134/S0037446614050061
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: G. V. Demidenko, I. I. Matveeva, “On estimates of solutions to systems of differential equations of neutral type with periodic coefficients”, Sibirsk. Mat. Zh., 55:5 (2014), 1059–1077; Siberian Math. J., 55:5 (2014), 866–881
Citation in format AMSBIB
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    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    References:56
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