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Matematicheskie Zametki, 2008, Volume 84, Issue 4, Pages 638–640
DOI: https://doi.org/10.4213/mzm4147
(Mi mzm4147)
 

This article is cited in 7 scientific papers (total in 7 papers)

Brief Communications

Exponential Dichotomy of Linear Difference Systems with Almost Periodic Matrix

R. K. Romanovskii, L. V. Bel'gart

Omsk State Technical University
Full-text PDF (250 kB) Citations (7)
References:
Keywords: linear difference system, exponential dichotomy, asymptotic stability, almost-periodic difference system, Banach space, Cauchy matrix, Hermitian form.
Received: 11.04.2008
English version:
Mathematical Notes, 2008, Volume 84, Issue 4, Pages 596–598
DOI: https://doi.org/10.1134/S0001434608090332
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. K. Romanovskii, L. V. Bel'gart, “Exponential Dichotomy of Linear Difference Systems with Almost Periodic Matrix”, Mat. Zametki, 84:4 (2008), 638–640; Math. Notes, 84:4 (2008), 596–598
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm4147
  • https://doi.org/10.4213/mzm4147
  • https://www.mathnet.ru/eng/mzm/v84/i4/p638
  • This publication is cited in the following 7 articles:
    1. Romanovsky R.K., Nazaruk E.M., “Dichotomy of Solutions of Differential-Difference Equations in a Sobolev Space”, Dokl. Math., 91:2 (2015), 193–196  crossref  mathscinet  zmath  isi  elib  scopus
    2. R. K. Romanovskii, E. M. Nazaruk, “Dichotomy of solutions of functional-differential equations in the Sobolev space”, Diff Equat, 51:4 (2015), 464  crossref
    3. R. K. Romanovskii, E. M. Nazaruk, “On the Dichotomy of Linear Autonomous Systems of Functional-Differential Equations”, Math. Notes, 95:1 (2014), 116–121  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    4. Belgart L.V., “O dikhotomii reshenii lineinykh sistem vtorogo poryadka s pochti periodicheskimi koeffitsientami”, Omskii nauchnyi vestnik, 2013, no. 3(123), 21–23  elib
    5. Romanovskii R.K., Nazaruk E.M., “Spektralnyi kriterii eksponentsialnoi dikhotomii dlya lineinoi avtonomnoi sistemy funktsionalno-differentsialnykh uravnenii”, Doklady Akademii nauk vysshei shkoly Rossiiskoi Federatsii, 2012, no. 1, 19–27  elib
    6. Nazaruk E.M., Romanovskaya A.M., “Ob eksponentsialnoi dikhotomii reshenii zadachi koshi dlya sistemy differentsialno-raznostnykh uravnenii s postoyannymi koeffitsientami”, Vestnik Omskogo universiteta, 2011, no. 4, 45–49  elib
    7. R. K. Romanovskii, L. V. Belgart, “The exponential dichotomy of solutions to systems of linear difference equations with almost periodic coefficients”, Russian Math. (Iz. VUZ), 54:10 (2010), 44–51  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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