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Mathematical notes of NEFU, 2023, Volume 30, Issue 4, Pages 3–11
DOI: https://doi.org/10.25587/2411-9326-2023-4-3-11 (Mi svfu396) 		 
Mathematics

On the Cauchy problem for one system of pseudohyperbolic type

L. N. Bondar'a, S. B. Mingnarovb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (228 kB)
DOI: https://doi.org/10.25587/2411-9326-2023-4-3-11
Abstract: We consider the Cauchy problem for one system unsolvable with respect to the highest time derivative. The system under study belongs to the class of pseudohyperbolic systems and describes transverse flexural-torsional vibrations of an elastic rod. We prove the unique solvability of the Cauchy problem in Sobolev spaces and obtain estimates for the solution.
Keywords: system unsolvable with respect to the highest time derivative, pseudohyperbolic system, transverse flexural-torsional vibrations.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0008
Received: 24.10.2023
Accepted: 30.11.2023
Document Type: Article
UDC: 517.955
Language: Russian
Citation: L. N. Bondar', S. B. Mingnarov, “On the Cauchy problem for one system of pseudohyperbolic type”, Mathematical notes of NEFU, 30:4 (2023), 3–11
Citation in format AMSBIB
\Bibitem{BonMin23}
\by L.~N.~Bondar', S.~B.~Mingnarov
\paper On the Cauchy problem for one system of pseudohyperbolic type
\jour Mathematical notes of NEFU
\yr 2023
\vol 30
\issue 4
\pages 3--11
\mathnet{http://mi.mathnet.ru/svfu396}
\crossref{https://doi.org/10.25587/2411-9326-2023-4-3-11}
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