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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 123, Pages 488–502
DOI: https://doi.org/10.20310/1810-0198-2018-23-123-488-502 (Mi vtamu50) 		 
Scientific articles

Stability of one-parameter systems of linear autonomous differential equations with bounded delay

M. V. Mulyukov

Perm National Research Polytechnic University
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DOI: https://doi.org/10.20310/1810-0198-2018-23-123-488-502
Abstract: We consider a system of linear autonomous differential equations with bounded delay in the case when its characteristic function depends linearly on one scalar parameter. The application of the D-subdivision method to the problem of constructing the stability region for this equation was developed.
Keywords: delay differential equations, autonomous equations, asymptotic stability, D-subdivision method.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.5336.2017/8.9
Russian Foundation for Basic Research 18-01-00928
The research is carried out within the state assignment of the Ministry of Education and Science of the Russian Federation (project No. 1.5336.2017/8.9), and is supported by RFBR (project No. 18-01-00928).
Received: 20.04.2018
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: M. V. Mulyukov, “Stability of one-parameter systems of linear autonomous differential equations with bounded delay”, Tambov University Reports. Series: Natural and Technical Sciences, 23:123 (2018), 488–502
Citation in format AMSBIB
\Bibitem{Mul18}
\by M.~V.~Mulyukov
\paper Stability of one-parameter systems of linear autonomous differential equations with bounded delay
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 123
\pages 488--502
\mathnet{http://mi.mathnet.ru/vtamu50}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-123-488-502}
\elib{https://elibrary.ru/item.asp?id=36452698}
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