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JOURNALS // Matematicheskie Trudy // Archive

Mat. Tr., 2024 Volume 27, Number 2, Pages 26–39 (Mi mt703)

On necessary solvability conditions for one pseudohyperbolic system

L. N. Bondar', S. B. Mingnarov

Novosibirsk State University, Novosibirsk, 630090, Russia

Abstract: 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.

Key words: pseudohyperbolic system, Cauchy problem, anisotropic Sobolev space, necessary conditions for solvability.

UDC: 517.955

Received: 10.06.2024
Revised: 11.06.2024
Accepted: 13.06.2024

DOI: 10.25205/1560-750X-2024-27-2-26-39


 English version:
Siberian Advances in Mathematics, 2024, 34:3, 187–195


© Steklov Math. Inst. of RAS, 2026