On solvability of the boundary value problem for one pseudohyperbolic equation

Authors

  • Lina Bondar Novosibirsk State University
  • Vakhobbiddin Nurmakhmatov Novosibirsk State University

Keywords:

generalized solution, pseudohyperbolic equation, torsional vibrations, Sobolev space, unique solvability, Galerkin method.

Abstract

The paper considers the first boundary value problem in a rectangle for the equation describing torsional vibrations of an elastic rod. Existence and uniqueness theorems are proved for a generalized solution of the first boundary value problem in Sobolev space.

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Published

2021-10-19

Issue

Vol. 18 No. 2 (2021)

Section

Differential equations, dynamical systems and optimal control