On necessary solvability conditions for one pseudohyperbolic system

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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

УДК 517.955

Keywords: pseudohyperbolic system, Cauchy problem, anisotropic Sobolev space, necessary conditions for solvability