On the Cauchy problem for one system of pseudohyperbolic type
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.
About the Authors
L. N. Bondar′
Sobolev Institute of Mathematics
Russian Federation
Russian Federation
Lina N. Bondar′
4 Koptyug Avenue, 630090 Novosibirsk
S. B. Mingnarov
Novosibirsk State University
Russian Federation
Russian Federation
Sanzhar B. Mingnarov
1 Pirogov Street, 630090 Novosibirsk
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Review
For citations:
Bondar′ L.N., Mingnarov S.B. On the Cauchy problem for one system of pseudohyperbolic type. Mathematical notes of NEFU. 2023;30(4):3-11. (In Russ.) https://doi.org/10.25587/2411-9326-2023-4-3-11
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