Geodesic
On the Cauchy problem for one system of pseudohyperbolic type
Matematičeskie zametki SVFU, Tome 30 (2023) no. 4, pp. 3-11 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: system unsolvable with respect to the highest time derivative, pseudohyperbolic system
Mots-clés : transverse flexural-torsional vibrations. 
@article{SVFU_2023_30_4_a0,
     author = {L. N. Bondar' and S. B. Mingnarov},
     title = {On the {Cauchy} problem for one system of pseudohyperbolic type},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {3--11},
     year = {2023},
     volume = {30},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2023_30_4_a0/}
}
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L. N. Bondar'; S. B. Mingnarov. On the Cauchy problem for one system of pseudohyperbolic type. Matematičeskie zametki SVFU, Tome 30 (2023) no. 4, pp. 3-11. http://geodesic.mathdoc.fr/item/SVFU_2023_30_4_a0/