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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 4, Pages 751–768 (Mi smj2122)  
This article is cited in 6 scientific papers (total in 6 papers)

Solvability conditions for the difference equations with an initial condition in a subspace

M. S. Bichegkuev

North-Ossetian State University, Vladikavkaz, Russia
Full-text PDF (341 kB) Citations (6)
References:
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Abstract: We obtain necessary and sufficient conditions for the solvability of difference equations in a Banach space of vector sequences with an initial condition in a subspace.
Keywords: difference equation, weighted shift operator, linear relation, restriction of a relation, ordered pair, spectrum of a pair.
Received: 16.01.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 4, Pages 595–609
DOI: https://doi.org/10.1007/s11202-010-0061-0
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: M. S. Bichegkuev, “Solvability conditions for the difference equations with an initial condition in a subspace”, Sibirsk. Mat. Zh., 51:4 (2010), 751–768; Siberian Math. J., 51:4 (2010), 595–609
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/smj2122
  • https://www.mathnet.ru/eng/smj/v51/i4/p751
    • This publication is cited in the following 6 articles:
    1. N. B. Uskova, G. V. Garkavenko, “The theorem on the decomposition of linear operators and the asymptotic behavior of the eigenvalues of difference operators with a growing potential”, J. Math. Sci., 246:6 (2020), 812–827  mathnet  crossref  crossref
    2. M. S. Bichegkuev, “Lyapunov Transformation of Differential Operators with Unbounded Operator Coefficients”, Math. Notes, 99:1 (2016), 24–36  mathnet  crossref  crossref  mathscinet  isi  elib
    3. Bichegkuev M.S., “Spectral Analysis of Differential Operators With Unbounded Operator Coefficients on the Half-Line”, Differ. Equ., 51:4 (2015), 431–439  crossref  mathscinet  zmath  isi  elib  scopus
    4. M. S. Bichegkuev, “Spectral Analysis of Differential Operators with Unbounded Operator Coefficients in Weighted Spaces of Functions”, Math. Notes, 95:1 (2014), 15–21  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    5. V. B. Didenko, “On the continuous invertibility and the Fredholm property of differential operators with multi-valued impulse effects”, Izv. Math., 77:1 (2013), 3–19  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    6. A. G. Baskakov, “Analysis of linear differential equations by methods of the spectral theory of difference operators and linear relations”, Russian Math. Surveys, 68:1 (2013), 69–116  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    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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