Geodesic
On necessary solvability conditions for one pseudohyperbolic system
Matematičeskie trudy, Tome 27 (2024) no. 2, pp. 26-39
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The Cauchy problem for one pseudohyperbolic system is considered. This system arises when modeling flexural-torsional vibrations of an elastic rod. The paper indicates the necessary conditions on the right side of the system under which the Cauchy problem is solvable in a Sobolev space with exponential weight. 
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L. N. Bondar'; S. B. Mingnarov. On necessary solvability conditions for one pseudohyperbolic system. Matematičeskie trudy, Tome 27 (2024) no. 2, pp. 26-39. http://geodesic.mathdoc.fr/item/MT_2024_27_2_a1/

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