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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 5, Pages 1063–1079
DOI: https://doi.org/10.33048/smzh.2019.60.506 (Mi smj3133) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Estimates for solutions to neutral differential equations with periodic coefficients of linear terms

G. V. Demidenkoab, I. I. Matveevaab, M. A. Skvortsovaab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (436 kB) Citations (21)
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DOI: https://doi.org/10.33048/smzh.2019.60.506
Abstract: Under study are the systems of nonlinear delay differential equations of neutral type with periodic coefficients of linear terms. We establish sufficient conditions of exponential stability of the zero solution, point out the attraction domains of the zero solution, and provide estimates for solutions characterizing the stabilization rate at infinity.
Keywords: differential equation of neutral type, periodic coefficient, exponential stability, attraction domain, Lyapunov–Krasovskii functional.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10086_мк
The authors were supported by the Russian Foundation for Basic Research (Grant 18–29–10086).
Received: 03.07.2019
Revised: 03.07.2019
Accepted: 24.07.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 5, Pages 828–841
DOI: https://doi.org/10.1134/S0037446619050069
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: G. V. Demidenko, I. I. Matveeva, M. A. Skvortsova, “Estimates for solutions to neutral differential equations with periodic coefficients of linear terms”, Sibirsk. Mat. Zh., 60:5 (2019), 1063–1079; Siberian Math. J., 60:5 (2019), 828–841
Citation in format AMSBIB
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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