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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2020, Volume 17, Pages 1697–1709
DOI: https://doi.org/10.33048/semi.2020.17.114 (Mi semr1308) 		 
Differentical equations, dynamical systems and optimal control

Some representations of solutions to Blokhintsev equation

Yu. E. Anikonova, N. B. Ayupovaab, M. V. Neshchadimab

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.2020.17.114
Abstract: In the paper, we obtain some representations for solutions and coefficients of Blokhintsev equation under condition the solutions satisfy to supplementary quasi-linear equation. These results may be used in the problems of identification of solutions and coefficients given supplementary initial-boundary information.
Keywords: Blokhintsev equation, method of differential constrains,overdetermined systems of partial differential equations.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00057_a
Siberian Branch of Russian Academy of Sciences I.1.5., project № 0314-2019-0011
The work was partially supported by by the Program of fundamental scientific researches of the SB RAS N I.1.5., project N 0314-2019-0011 and by RFFR (grant 18-01-00057).
Received May 8, 2020, published October 21, 2020
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35N10,35C05
Language: English
Citation: Yu. E. Anikonov, N. B. Ayupova, M. V. Neshchadim, “Some representations of solutions to Blokhintsev equation”, Sib. Èlektron. Mat. Izv., 17 (2020), 1697–1709
Citation in format AMSBIB
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\by Yu.~E.~Anikonov, N.~B.~Ayupova, M.~V.~Neshchadim
\paper Some representations of solutions to Blokhintsev equation
\jour Sib. \`Elektron. Mat. Izv.
\yr 2020
\vol 17
\pages 1697--1709
\mathnet{http://mi.mathnet.ru/semr1308}
\crossref{https://doi.org/10.33048/semi.2020.17.114}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000583303900001}
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