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.
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
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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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https://www.mathnet.ru/eng/jsfu540
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This publication is cited in the following 6 articles:
Svetlana S. Akhtamova, Tom Cuchta, Alexander P. Lyapin, “An Approach to Multidimensional Discrete Generating Series”, Mathematics, 12:1 (2024), 143
M. S. Apanovich, A. P. Lyapin, K. V. Shadrin, “Solving the Cauchy Problem for a Three-dimensional Difference Equation in a Parallelepiped”, Program Comput Soft, 49:2 (2023), 61
M. S. APANOVICH, A. P. LYAPIN, K. V. SHADRIN, “SOLVING THE CAUCHY PROBLEM FOR A THREE-DIMENSIONAL DIFFERENCE EQUATION IN A PARALLELEPIPED”, Programmirovanie, 2023, no. 2, 5
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
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
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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