On Linear Two-Point Inverse Problem for a Multidimensional Wave Equation with Semi-Nonlocal Boundary Conditions

被引：0

作者：

Dzhamalov, S. Z. ^{[1
,2
]}

Khudoykulov, Sh. Sh. ^{[1
]}

机构：

[1] Uzbek Acad Sci, Romanovskii Inst Math, Tashkent 100174, Uzbekistan

[2] Univ Tashkent Appl Sci, Tashkent 100149, Uzbekistan

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2024年 / 45卷 / 03期

关键词：

multi-dimensional wave equation; linear two-point inverse problem; unique solvability of a generalized solution; methods of a priori estimates; Galerkin's; sequence of approximations and contracting mappings;

D O I：

10.1134/S1995080224600730

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we investigated the correctness of a linear two-point inverse problem for a multidimensional wave equation. The unique solvability of a generalized solution to a linear two-point inverse problem for a multidimensional wave equation is proved by methods of a priori estimates, a sequence of approximations, and contracting mappings.

引用

页码：1059 / 1071

页数：13

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