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

共 50 条

[41] Uniqueness of the solution of a mixed problem for the wave equation with nonlocal boundary conditions
V. A. Il’in
E. I. Moiseev
Differential Equations, 2000, 36 : 728 - 733
[42] On a two-point free boundary problem
Guo, Jong-Shenq
Hu, Bei
QUARTERLY OF APPLIED MATHEMATICS, 2006, 64 (03) : 413 - 431
[43] An inverse coefficient problem for a parabolic equation in the case of nonlocal boundary and overdetermination conditions
Ismailov, Mansur I.
Kanca, Fatma
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (06) : 692 - 702
[44] A Multidimensional Inverse Boundary Value Problem for a Linear Hyperbolic Equation in a Bounded Domain
M. A. Kuliev
Differential Equations, 2002, 38 : 104 - 108
[45] A multidimensional inverse boundary value problem for a linear hyperbolic equation in a bounded domain
Kuliev, MA
DIFFERENTIAL EQUATIONS, 2002, 38 (01) : 104 - 108
[46] An inverse diffusion problem with nonlocal boundary conditions
Ismailov, Mansur I.
Ogur, Bulent
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2016, 32 (02) : 564 - 590
[47] AN INVERSE PROBLEM FOR A SEMI-LINEAR WAVE EQUATION: A NUMERICAL STUDY
Lassas, Matti
Liimatainen, Tony
Potenciano-machado, Leyter
Tyni, Teemu
INVERSE PROBLEMS AND IMAGING, 2023, : 62 - 85
[48] A system of ordinary linear differential equations with two-point boundary conditions
Reid, William T.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1938, 44 (1-3) : 508 - 521
[49] An inverse boundary value problem for a linearized Benny-Luc equation with nonlocal boundary conditions
Mehraliyev, Yashar T.
Valiyeva, Bahar K.
Ramazanova, Aysel T.
COGENT MATHEMATICS & STATISTICS, 2019, 6
[50] PROBLEM WITH TWO-POINT CONDITIONS FOR PARABOLIC EQUATION OF SECOND ORDER ON TIME
Symotyuk, M. M.
Tymkiv, I. R.
CARPATHIAN MATHEMATICAL PUBLICATIONS, 2014, 6 (02) : 351 - 359

← 1 2 3 4 5 →