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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)
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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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    • This publication is cited in the following 6 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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