Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 160, Pages 18–27 (Mi into420)  
This article is cited in 4 scientific papers (total in 4 papers)

Operators and equations: discrete and continuous

V. B. Vasil'ev (Vasilyev)

National Research University "Belgorod State University"
Full-text PDF (235 kB) Citations (4)
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Abstract: We consider discrete pseudo-differential equations with elliptic symbols and corresponding discrete boundary-value problems in special canonical domains of multidimensional spaces. The solvability of such equations and boundary-value problems in discrete analogs of Sobolev–Slobodetsky spaces is examined.
Keywords: discrete pseudo-differential operator, discrete boundary-value problem, elliptic symbol, discrete equation, solvability.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.7311.2017/Á×
This work was partially supported by the Ministry of Education and Science of the Russian Federation (project No. 1.7311.2017/BCh).
English version:
Journal of Mathematical Sciences, 2021, Volume 257, Issue 1, Pages 17–26
DOI: https://doi.org/10.1007/s10958-021-05465-5
Bibliographic databases:
Document Type: Article
UDC: 517.96, 519.64
MSC: 42B10, 45G05, 65R20
Language: Russian
Citation: V. B. Vasil'ev (Vasilyev), “Operators and equations: discrete and continuous”, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17, St. Petersburg Polytechnic University, July 24-28, 2017, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 160, VINITI, Moscow, 2019, 18–27; Journal of Mathematical Sciences, 257:1 (2021), 17–26
Citation in format AMSBIB
\Bibitem{Vas19}
\by V.~B.~Vasil'ev~(Vasilyev)
\paper Operators and equations: discrete and continuous
\inbook Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17,
St. Petersburg Polytechnic University, July 24-28, 2017
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 160
\pages 18--27
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into420}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3981826}
\transl
\jour Journal of Mathematical Sciences
\yr 2021
\vol 257
\issue 1
\pages 17--26
\crossref{https://doi.org/10.1007/s10958-021-05465-5}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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