Geodesic
On solvability of the boundary value problem for one pseudohyperbolic equation
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1046-1057.

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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.
Keywords: generalized solution, pseudohyperbolic equation, Sobolev space, unique solvability, Galerkin method.
Mots-clés : torsional vibrations 
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L. N. Bondar; V. Nurmakhmatov. On solvability of the boundary value problem for one pseudohyperbolic equation. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1046-1057. http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a48/

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