Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2024, Volume 231, Pages 83–88
DOI: https://doi.org/10.36535/2782-4438-2024-231-83-88 (Mi into1256) 		 
On the asymptotic stability of one equation with a discrete retarded argument

M. V. Mulyukovab

a Perm State National Research University
b Perm National Research Polytechnic University
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DOI: https://doi.org/10.36535/2782-4438-2024-231-83-88
Abstract: In this paper, we consider a functional differential equation with a discrete retarded argument, a constant delay, and a term without delay. The problem of the asymptotic stability of this equation is reduced to the problem of studying the spectrum of the operator of shift along trajectories. Simple coefficient necessary conditions for the asymptotic stability of this equation are obtained.
Keywords: functional differential equation, asymptotic stability, discrete retarded argument, hybrid system
Funding agency Grant number
Russian Science Foundation 22-21-00517
This work was supported by the Russian Science Foundation (project No. 22-21-00517).
Document Type: Article
UDC: 517.929
MSC: 34K06, 34K20, 34K25, 34K34
Language: Russian
Citation: M. V. Mulyukov, “On the asymptotic stability of one equation with a discrete retarded argument”, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 231, VINITI, Moscow, 2024, 83–88
Citation in format AMSBIB
\Bibitem{Mul24}
\by M.~V.~Mulyukov
\paper On the asymptotic stability of one equation with a discrete retarded argument
\inbook Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2024
\vol 231
\pages 83--88
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1256}
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