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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 1046–1057
DOI: https://doi.org/10.33048/semi.2021.18.080 (Mi semr1421) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Differentical equations, dynamical systems and optimal control

On solvability of the boundary value problem for one pseudohyperbolic equation

L. N. Bondara, V. Nurmakhmatovb

a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.080
Abstract: The paper considers the first boundary value problem in a rectangle for the equation describing torsional vibrations of an elastic rod. Existence and uniqueness theorems are proved for a generalized solution of the first boundary value problem in Sobolev space.
Keywords: generalized solution, pseudohyperbolic equation, torsional vibrations, Sobolev space, unique solvability, Galerkin method.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
The work is supported by the Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation.
Received June 15, 2021, published October 19, 2021
Bibliographic databases:
Document Type: Article
UDC: 517.922
MSC: 35E15
Language: English
Citation: L. N. Bondar, V. Nurmakhmatov, “On solvability of the boundary value problem for one pseudohyperbolic equation”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1046–1057
Citation in format AMSBIB
\Bibitem{BonNur21}
\by L.~N.~Bondar, V.~Nurmakhmatov
\paper On solvability of the boundary value problem for one pseudohyperbolic equation
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 1046--1057
\mathnet{http://mi.mathnet.ru/semr1421}
\crossref{https://doi.org/10.33048/semi.2021.18.080}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000714609800003}
Linking options:
  • https://www.mathnet.ru/eng/semr1421
  • https://www.mathnet.ru/eng/semr/v18/i2/p1046
    • This publication is cited in the following 2 articles:
    1. L. N. Bondar, G. V. Demidenko, V. S. Nurmakhmatov, “Kraevaya zadacha v tsilindre dlya odnogo psevdogiperbolicheskogo uravneniya”, Chelyab. fiz.-matem. zhurn., 8:4 (2023), 469–482  mathnet  crossref
    2. V. V. Shemetova, “On a boundary value problem for a pseudohyperbolic equation”, Siberian Adv. Math., 33:3 (2023), 242–252  mathnet  crossref  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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