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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 5, Pages 791–803
DOI: https://doi.org/10.31857/S0044466924050089
(Mi zvmmf11750)
 

This article is cited in 1 scientific paper (total in 1 paper)

Partial Differential Equations

Green’s function of the Riquier–Neumann problem for the polyharmonic equation in the unit ball

V. V. Karachik

South Ural State University, 454080, Chelyabinsk, Russia
Full-text PDF Citations (1)
Abstract: The Green’s function of the Riquier–Neumann problem for the polyharmonic equation in the unit ball is constructed, and an integral representation of solutions to the Riquier–Neumann problem is presented. Two examples are given.
Key words: polyharmonic equation, Riquier–Neumann problem, Green’s function.
Received: 10.01.2023
Revised: 10.01.2023
Accepted: 06.02.2024
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 5, Pages 1015–1028
DOI: https://doi.org/10.1134/S0965542524700258
Bibliographic databases:
Document Type: Article
UDC: 517.956.223+517.575
Language: Russian
Citation: V. V. Karachik, “Green’s function of the Riquier–Neumann problem for the polyharmonic equation in the unit ball”, Zh. Vychisl. Mat. Mat. Fiz., 64:5 (2024), 791–803; Comput. Math. Math. Phys., 64:5 (2024), 1015–1028
Citation in format AMSBIB
\Bibitem{Kar24}
\by V.~V.~Karachik
\paper Green’s function of the Riquier--Neumann problem for the polyharmonic equation in the unit ball
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 5
\pages 791--803
\mathnet{http://mi.mathnet.ru/zvmmf11750}
\crossref{https://doi.org/10.31857/S0044466924050089}
\elib{https://elibrary.ru/item.asp?id=74527341}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 5
\pages 1015--1028
\crossref{https://doi.org/10.1134/S0965542524700258}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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