NEW BOUNDARY VALUE PROBLEMS FOR FOURTH-ORDER QUASI-HYPERBOLIC EQUATIONS

被引：7

作者：

Kozhanov, Alexandr Ivanovich ^{[1
]}

Koshanov, Bahytbek ^{[2
]}

Sultangazieva, Janat ^{[3
]}

机构：

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

[2] Inst Math & Math Modeling, 125 Pushkin Str, Alma Ata 050010, Kazakhstan

[3] Abai Pedag Univ, 13 Dostyk Ave, Alma Ata 050010, Kazakhstan

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2019年 / 16卷

关键词：

fourth-order quasi-hyperbolic equations; regular solutions; existence; uniqueness;

D O I：

10.33048/semi.2019.16.098

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the correctness in the spaces of S.L. Sobolev of new boundary value problems for quasi-hyperbolic differential equations u(tttt )+ Au = f(x, t) (A is an elliptic operator acting on spatial variables). For the proposed tasks theorems on the existence and uniqueness of solutions are proved, and examples of non-uniqueness are given.

引用

页码：1410 / 1436

页数：27

共 10 条

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