ON SOLVABILITY OF THE BOUNDARY VALUE PROBLEM FOR ONE PSEUDOHYPERBOLIC EQUATION

被引：0

作者：

Bondar, L. N. ^{[1
]}

Nurmakhmatov, V. S. ^{[2
]}

机构：

[1] Sobolev Inst Math, 4 Koptyuga Ave, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, 1 Pirogova Str, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2021年 / 18卷 / 02期

关键词：

generalized solution; pseudohyperbolic equation; torsional vibrations; Sobolev space; unique solvability; Galerkin method; CAUCHY-PROBLEM; HYPERBOLIC-EQUATIONS;

D O I：

10.33048/semi.2021.18.080

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1046 / 1057

页数：12

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