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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023, Number 10, Pages 90–94
DOI: https://doi.org/10.26907/0021-3446-2023-10-90-94 (Mi ivm9945) 		 
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On the stability of one equation with a discrete retarded argument and a constant concentrated delay

M. V. Mulyukovab

a Perm State National Research University, 15 Bukireva str., Perm, 614068 Russia
b Perm National Research Polytechnic University, 29 Komsomolsky Ave., Perm, 614990 Russia
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DOI: https://doi.org/10.26907/0021-3446-2023-10-90-94
Abstract: A functional differential equation with a discrete retarded argument and a constant concentrated delay is considered. The problem of the asymptotic stability of this equation is reduced to the problem of the location of the spectrum of the shift operator. Coefficient sufficient conditions for the asymptotic stability of this equation are obtained. The domain in the parameter space such that these conditions are necessary is obtained.
Keywords: functional differential equations, asymptotic stability, discrete retarded argument, hybrid systems.
Funding agency Grant number
Russian Science Foundation 22-21-00517
Received: 11.08.2023
Revised: 11.08.2023
Accepted: 26.09.2023
Document Type: Article
UDC: 517.929
Language: Russian
Citation: M. V. Mulyukov, “On the stability of one equation with a discrete retarded argument and a constant concentrated delay”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 10, 90–94
Citation in format AMSBIB
\Bibitem{Mul23}
\by M.~V.~Mulyukov
\paper On the stability of one equation with a discrete retarded argument and a constant concentrated delay
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 10
\pages 90--94
\mathnet{http://mi.mathnet.ru/ivm9945}
\crossref{https://doi.org/10.26907/0021-3446-2023-10-90-94}
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