Necessary Conditions for Existence of Solutions of a Certain
Pseudohyperbolic System of Equations
摘要
Abstract
In the present article, we consider the Cauchy problem for a pseudohyperbolic system thatarises in modeling flexural-torsional vibrations of an elastic rod. For the function onthe right-hand side of the system, we suggest necessary conditions for existence of a solution ofthe Cauchy problem in the Sobolev space with exponential weight.