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This article is cited in 3 scientific papers (total in 3 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.
DOI:
https://doi.org/10.17516/1997-1397-2017-10-2-199-205
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UDC:
517.55 Received: 16.11.2016 Received in revised form: 08.02.2017 Accepted: 20.02.2017
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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
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\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
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\crossref{https://doi.org/10.17516/1997-1397-2017-10-2-199-205}
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http://mi.mathnet.ru/eng/jsfu540 http://mi.mathnet.ru/eng/jsfu/v10/i2/p199
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This publication is cited in the following articles:
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Evgeny K. Leinartas, Tatiana 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
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M. S. Apanovich, E. K. Leinartas, “On correctness of Cauchy problem for a polynomial difference operator with constant coefficients”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 26 (2018), 3–15
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Alexander P. Lyapin, Sreelatha Chandragiri, “The Cauchy problem for multidimensional difference equations in lattice cones”, Zhurn. SFU. Ser. Matem. i fiz., 13:2 (2020), 187–196
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