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// Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
// Archive
Zh. Vychisl. Mat. Mat. Fiz.,
2020
Volume 60,
Number 4,
Pages
626–638
(Mi zvmmf11062)
This article is cited in
5
papers
Cauchy problem for one pseudohyperbolic system
L. N. Bondar'
a
,
G. V. Demidenko
a
,
G. M. Pintus
b
a
Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
b
Novosibirsk State University, Novosibirsk, 630090 Russia
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.
UDC:
517.955
Received:
14.11.2019
Revised:
14.11.2019
Accepted:
16.12.2019
DOI:
10.31857/S0044466920040055
References
Cited by
English version:
Computational Mathematics and Mathematical Physics, 2020,
60
:4,
615–627
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2025
References