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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2024, Volume 9, Issue 4, Pages 561–572
DOI: https://doi.org/10.47475/2500-0101-2024-9-4-561-572 (Mi chfmj403) 		 
Mathematics

Exponential dichotomy for systems of difference equations under perturbation of coefficients

G. V. Demidenkoab, A. A. Bondar'b, M. Sh. Ganzhaevab

a Sobolev Institute of Mathematics SB RAS, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.47475/2500-0101-2024-9-4-561-572
Abstract: The problem of exponential dichotomy for systems of difference equations with periodic coefficients is considered. Based on the previously obtained exponential dichotomy criterion, the question of permissible perturbations on the coefficient matrix, under which the exponential dichotomy persists, is investigated.
Keywords: system of difference equations with periodic coefficients, system of discrete Lyapunov equations, exponential dichotomy criterion, perturbation of coefficients.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0008
The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. FWNF-2022-0008).
Received: 25.07.2024
Revised: 15.09.2024
Document Type: Article
UDC: 517.962.22
Language: Russian
Citation: G. V. Demidenko, A. A. Bondar', M. Sh. Ganzhaeva, “Exponential dichotomy for systems of difference equations under perturbation of coefficients”, Chelyab. Fiz.-Mat. Zh., 9:4 (2024), 561–572
Citation in format AMSBIB
\Bibitem{DemBonGan24}
\by G.~V.~Demidenko, A.~A.~Bondar', M.~Sh.~Ganzhaeva
\paper Exponential dichotomy for systems of difference equations under perturbation of coefficients
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2024
\vol 9
\issue 4
\pages 561--572
\mathnet{http://mi.mathnet.ru/chfmj403}
\crossref{https://doi.org/10.47475/2500-0101-2024-9-4-561-572}
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