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

Voir la notice de l'article provenant de la source Math-Net.Ru

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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     author = {L. N. Bondar and V. Nurmakhmatov},
     title = {On solvability of the boundary value problem for one pseudohyperbolic equation},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1046--1057},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a48/}
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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/