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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 1, Pages 106–116
DOI: https://doi.org/10.33048/smzh.2021.62.109 (Mi smj7541) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic stability for a class of equations of neutral type

V. V. Malygina, A. S. Balandin

Perm National Research Polytechnic University, Perm, Russia
Full-text PDF (478 kB) Citations (2)
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DOI: https://doi.org/10.33048/smzh.2021.62.109
Abstract: Under study is the problem of asymptotic but exponential stability for a class of linear autonomous neutral functional differential equations. We demonstrate that the asymptotic stability of an equation of the class takes place for all integrable initial functions if the roots of the characteristic equation lie on the left of and approach the imaginary axis.
Keywords: autonomous neutral functional differential equation, critical case, asymptotic stability.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FSNM-2020-0028
Russian Foundation for Basic Research 18-01-00928
The authors were supported by the Ministry of Education and Science of the Russian Federation (Agreement FSNM–2020–0028) and the Russian Foundation for Basic Research (Grant 18–01–00928).
Received: 27.03.2020
Revised: 02.09.2020
Accepted: 18.11.2020
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 1, Pages 84–92
DOI: https://doi.org/10.1134/S0037446621010092
Bibliographic databases:
Document Type: Article
UDC: 517.929
MSC: 35R30
Language: Russian
Citation: V. V. Malygina, A. S. Balandin, “Asymptotic stability for a class of equations of neutral type”, Sibirsk. Mat. Zh., 62:1 (2021), 106–116; Siberian Math. J., 62:1 (2021), 84–92
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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