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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 4, Pages 626–638
DOI: https://doi.org/10.31857/S0044466920040055 (Mi zvmmf11062) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Cauchy problem for one pseudohyperbolic system

L. N. Bondar'a, G. V. Demidenkoa, G. M. Pintusb

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
b Novosibirsk State University, Novosibirsk, 630090 Russia
Citations (4)
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DOI: https://doi.org/10.31857/S0044466920040055
Abstract: The Cauchy problem for one pseudohyperbolic system is considered. The unique solvability of this problem in Sobolev spaces is proved. Systems of this type arise in describing wave dynamics in rods.
Key words: pseudohyperbolic system, Cauchy problem, anisotropic Sobolev space, bending-torsional vibrations.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 075-15-2019-1613
This work was 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: 14.11.2019
Revised: 14.11.2019
Accepted: 16.12.2019
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 4, Pages 615–627
DOI: https://doi.org/10.1134/S0965542520040053
Bibliographic databases:
Document Type: Article
UDC: 517.955
Language: Russian
Citation: L. N. Bondar', G. V. Demidenko, G. M. Pintus, “Cauchy problem for one pseudohyperbolic system”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020), 626–638; Comput. Math. Math. Phys., 60:4 (2020), 615–627
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf/v60/i4/p626
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:18
     
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