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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 6, Pages 1240–1254
DOI: https://doi.org/10.17377/smzh.2016.57.604 (Mi smj2820) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Exponential dichotomy of systems of linear difference equations with periodic coefficients

G. V. Demidenkoab, A. A. Bondarab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (304 kB) Citations (3)
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DOI: https://doi.org/10.17377/smzh.2016.57.604
Abstract: We study the problem of exponential dichotomy for the systems of linear difference equations with periodic coefficients. Some criterion is established for exponential dichotomy in terms of solvability of a special boundary value problem for a system of discrete Lyapunov equations. We also give estimates for dichotomy parameters.
Keywords: difference equation, exponential dichotomy, multiplier, system of discrete Lyapunov equations, dichotomy parameter.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00592
Russian Academy of Sciences - Federal Agency for Scientific Organizations 0314-2015-0011
The authors were supported by the Russian Foundation for Basic Research (Grant 16-01-00592) and the Presidium of the Russian Academy of Sciences (Grant 0314-2015-0011).
Received: 31.05.2016
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 6, Pages 969–980
DOI: https://doi.org/10.1134/S0037446616060045
Bibliographic databases:
Document Type: Article
UDC: 517.962.22
Language: Russian
Citation: G. V. Demidenko, A. A. Bondar, “Exponential dichotomy of systems of linear difference equations with periodic coefficients”, Sibirsk. Mat. Zh., 57:6 (2016), 1240–1254; Siberian Math. J., 57:6 (2016), 969–980
Citation in format AMSBIB
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\pages 1240--1254
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\transl
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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