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Mathematical notes of NEFU, 2021, Volume 28, Issue 3, Pages 31–44
DOI: https://doi.org/10.25587/SVFU.2021.56.29.003 (Mi svfu324) 		 
Mathematics

Stability of solutions to one class of nonlinear systems of delay difference equations

I. I. Matveevaab, A. V. Khmilab

a Sobolev Institute of Mathematics, 4 Koptyug Avenue, Novosibirsk 630090, Russia
b Novosibirsk State University, 1 Pirogov Street, Novosibirsk 630090, Russia
Full-text PDF (281 kB)
DOI: https://doi.org/10.25587/SVFU.2021.56.29.003
Abstract: We consider a class of nonlinear systems of delay difference equations with constant coefficients in linear terms. Conditions for the asymptotic stability of the zero solution are established and estimates characterizing stabilization rate of solutions at infinity are obtained by using a special Lyapunov–Krasovskii functional.
Keywords: delay difference equations, asymptotic stability, Lyapunov–Krasovskii functional, estimates for solutions.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00754
Received: 20.04.2021
Accepted: 26.08.2021
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: I. I. Matveeva, A. V. Khmil, “Stability of solutions to one class of nonlinear systems of delay difference equations”, Mathematical notes of NEFU, 28:3 (2021), 31–44
Citation in format AMSBIB
\Bibitem{MatKhm21}
\by I.~I.~Matveeva, A.~V.~Khmil
\paper Stability of solutions to one class of nonlinear systems of delay difference equations
\jour Mathematical notes of NEFU
\yr 2021
\vol 28
\issue 3
\pages 31--44
\mathnet{http://mi.mathnet.ru/svfu324}
\crossref{https://doi.org/10.25587/SVFU.2021.56.29.003}
\elib{https://elibrary.ru/item.asp?id=46670175}
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