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J. Sib. Fed. Univ. Math. Phys., 2017, Volume 10, Issue 2, Pages 199–205 (Mi jsfu540)  
This article is cited in 2 scientific papers (total in 2 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

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).


DOI: https://doi.org/10.17516/1997-1397-2017-10-2-199-205

Full text: PDF file (109 kB)
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Bibliographic databases:

UDC: 517.55
Received: 16.11.2016
Received in revised form: 08.02.2017
Accepted: 20.02.2017
Language:

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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000412014600007}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. E. K. Leinartas, T. I. Yakovleva, “The Cauchy problem for multidimensional difference equations and the preservation of the hierarchy of generating functions of its solutions”, Zhurn. SFU. Ser. Matem. i fiz., 11:6 (2018), 712–722  mathnet  crossref
    2. E. K. Leinartas, M. S. Apanovich, “On correctness of Cauchy problem for a polynomial difference operator with constant coefficients”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 26 (2018), 3–15  mathnet  crossref
    		• Журнал Сибирского федерального университета. Серия "Математика и физика"
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