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Matematicheskie Trudy, 2024, Volume 27, Number 2, Pages 26–39
DOI: https://doi.org/10.25205/1560-750X-2024-27-2-26-39 (Mi mt703) 		 
On necessary solvability conditions for one pseudohyperbolic system

L. N. Bondar', S. B. Mingnarov

Novosibirsk State University, Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.25205/1560-750X-2024-27-2-26-39
Abstract: The Cauchy problem for one pseudohyperbolic system is considered. This system arises when modeling flexural-torsional vibrations of an elastic rod. The paper indicates the necessary conditions on the right side of the system under which the Cauchy problem is solvable in a Sobolev space with exponential weight.
Key words: pseudohyperbolic system, Cauchy problem, anisotropic Sobolev space, necessary conditions for solvability.
Funding agency Grant number
Russian Science Foundation 24-21-00370
The study was supported by the Russian Science Foundation grant No. 24-21-00370, https://rscf.ru/en/project/24-21-00370/.
Received: 10.06.2024
Revised: 11.06.2024
Accepted: 13.06.2024
English version:
Siberian Advances in Mathematics, 2024, Volume 34, Issue 3, Pages 187–195
DOI: https://doi.org/10.1134/S1055134424030027
Document Type: Article
UDC: 517.955
Language: Russian
Citation: L. N. Bondar', S. B. Mingnarov, “On necessary solvability conditions for one pseudohyperbolic system”, Mat. Tr., 27:2 (2024), 26–39; Siberian Adv. Math., 34:3 (2024), 187–195
Citation in format AMSBIB
\Bibitem{BonMin24}
\by L.~N.~Bondar', S.~B.~Mingnarov
\paper On necessary solvability conditions for one pseudohyperbolic system
\jour Mat. Tr.
\yr 2024
\vol 27
\issue 2
\pages 26--39
\mathnet{http://mi.mathnet.ru/mt703}
\transl
\jour Siberian Adv. Math.
\yr 2024
\vol 34
\issue 3
\pages 187--195
\crossref{https://doi.org/10.1134/S1055134424030027}
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