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Journal of Siberian Federal University. Mathematics & Physics, 2017, Volume 10, Issue 2, Pages 199–205
DOI: https://doi.org/10.17516/1997-1397-2017-10-2-199-205 (Mi jsfu540) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Correctness of a two-dimensional Cauchy problem for a polynomial difference operator with constant coefficients

Marina S. Apanovicha, Evgeny K. Leinartasb

a Krasnoyarsk State Medical University, Partizana Zheleznyaka, 1, Krasnoyarsk, 660022, Russia
b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
Full-text PDF (109 kB) Citations (6)
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DOI: https://doi.org/10.17516/1997-1397-2017-10-2-199-205
Abstract: The correctness of Cauchy problem for a polynomial difference operator is studied. An easily verifiable sufficient condition for correctness of a two-dimensional Cauchy problem for an operator with constant coefficients is proved.
Keywords: polynomial difference operator, Cauchy problem, correctness.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation NSh-9149.2016.1
The work of the second author was financed by a grant of the President of the Russian Federation for state support of leading scientific schools (no. NSh-9149.2016.1).
Received: 16.11.2016
Received in revised form: 08.02.2017
Accepted: 20.02.2017
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: English
Citation: Marina S. Apanovich, Evgeny K. Leinartas, “Correctness of a two-dimensional Cauchy problem for a polynomial difference operator with constant coefficients”, J. Sib. Fed. Univ. Math. Phys., 10:2 (2017), 199–205
Citation in format AMSBIB
\Bibitem{ApaLei17}
\by Marina~S.~Apanovich, Evgeny~K.~Leinartas
\paper Correctness of a two-dimensional Cauchy problem for a polynomial difference operator with constant coefficients
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2017
\vol 10
\issue 2
\pages 199--205
\mathnet{http://mi.mathnet.ru/jsfu540}
\crossref{https://doi.org/10.17516/1997-1397-2017-10-2-199-205}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412014600007}
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  • https://www.mathnet.ru/eng/jsfu/v10/i2/p199
    • 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
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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