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
收藏
页码：1046 / 1057
页数：12
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