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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 8, Pages 1445–1455
DOI: https://doi.org/10.31857/S0044466924080092 (Mi zvmmf11812) 		 
Partial Differential Equations

Conditions for solvability of the Cauchy problem for one pseudohyperbolic system

L. N. Bondar', S. B. Mingnarov

Novosibirsk State University, 630090, Novosibirsk, Russia
Full-text PDF
DOI: https://doi.org/10.31857/S0044466924080092
Abstract: The Cauchy problem for a system that is not solved for the highest time derivative is considered. This system is pseudohyperbolic. It describes transverse bending-torsional vibrations of an elastic rod. Solvability conditions for the Cauchy problem in Sobolev spaces are obtained, and the solution is estimated.
Key words: pseudohyperbolic system, Cauchy problem, bending-torsional vibrations, solvability conditions.
Funding agency Grant number
Mathematical Center in Akademgorodok 075-15-2022-282
This work was supported by the Mathematical Center in Akademgorodok under agreement no. 075-15-2022-282 with the Ministry of Science and Higher Education of the Russian Federation.
Received: 05.05.2024
Revised: 05.05.2024
Accepted: 05.05.2024
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 8, Pages 1775–1784
DOI: https://doi.org/10.1134/S096554252470091X
Bibliographic databases:
Document Type: Article
UDC: 517.922
Language: Russian
Citation: L. N. Bondar', S. B. Mingnarov, “Conditions for solvability of the Cauchy problem for one pseudohyperbolic system”, Zh. Vychisl. Mat. Mat. Fiz., 64:8 (2024), 1445–1455; Comput. Math. Math. Phys., 64:8 (2024), 1775–1784
Citation in format AMSBIB
\Bibitem{BonMin24}
\by L.~N.~Bondar', S.~B.~Mingnarov
\paper Conditions for solvability of the Cauchy problem for one pseudohyperbolic system
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 8
\pages 1445--1455
\mathnet{http://mi.mathnet.ru/zvmmf11812}
\crossref{https://doi.org/10.31857/S0044466924080092}
\elib{https://elibrary.ru/item.asp?id=75224107}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 8
\pages 1775--1784
\crossref{https://doi.org/10.1134/S096554252470091X}
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