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Mathematical notes of NEFU, 2023, Volume 30, Issue 4, Pages 37–48
DOI: https://doi.org/10.25587/2411-9326-2023-4-37-48 (Mi svfu399) 		 
Mathematics

Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms

I. I. Matveevaa, A. V. Khmilb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (242 kB)
DOI: https://doi.org/10.25587/2411-9326-2023-4-37-48
Abstract: We consider a class of systems of difference equations with time-varying delay and periodic coefficients in linear terms. Conditions for the asymptotic stability of the zero solution are established and estimates characterizing stabilization rates of solutions at infinity are obtained.
Keywords: delay difference equations, asymptotic stability, Lyapunov–Krasovskii functional, estimates for solutions.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF–2022–0008
Received: 30.10.2023
Accepted: 30.11.2023
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: I. I. Matveeva, A. V. Khmil, “Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms”, Mathematical notes of NEFU, 30:4 (2023), 37–48
Citation in format AMSBIB
\Bibitem{MatKhm23}
\by I.~I.~Matveeva, A.~V.~Khmil
\paper Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms
\jour Mathematical notes of NEFU
\yr 2023
\vol 30
\issue 4
\pages 37--48
\mathnet{http://mi.mathnet.ru/svfu399}
\crossref{https://doi.org/10.25587/2411-9326-2023-4-37-48}
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