Boundary Value Problems for a Fourth Order Partial Differential Equation with an Unknown Right-hand Part

被引：7

作者：

Urinov, A. K. ^{[1
,2
]}

Azizov, M. S. ^{[1
]}

机构：

[1] Ferghana State Univ, Fergana City 150100, Uzbekistan

[2] Uzbek Acad Sci, Namangan Reg Dept, Inst Math, Namangan City 160136, Uzbekistan

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2021年 / 42卷 / 03期

关键词：

rectangular domain; differential equation with unknown right-hand part; the fourth order partial differential equation; inverse problem; spectral method; the uniqueness of the solution; the existence of the solution; INVERSE PROBLEM; INTEGRODIFFERENTIAL EQUATION; COEFFICIENT;

D O I：

10.1134/S1995080221030203

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article in a rectangular domain inverse boundary value problems with local and non-local boundary conditions for a fourth order partial differential equation were formulated and investigated. The solutions of the inverse problems were obtained in the form of Fourier series. It was proved the theorem on uniqueness and existence of the solution of the inverse problems under consideration.

引用

页码：632 / 640

页数：9

共 22 条

[1]

Anikonov Yu.E., 2001, Inverse problems for kinetic and other evolution equations, DOI [10.1515/9783110940909, DOI 10.1515/9783110940909]

[2]

Belov Y.Y., 2002, INVER ILL POSED PROB

[3] Inverse Problem for Equations of Complex Heat Transfer [J].

Grenkin, G., V ;

Chebotarev, A. Yu .

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2019, 59 (08) :1361-1371

[4]

Isakov V., 2006, People v. Isakov

[5] Inverse Problem of Finding the Coefficient of the Lowest Term in Two-Dimensional Heat Equation with Ionkin-Type Boundary Condition [J].

Ismailov, M. I. ;

Erkovan, S. .

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2019, 59 (05) :791-808

[6]

Kabanihin C.I., 2009, INVERSE INCORRECT PR

[7]

Kozhanov A.I, 2000, MAT ZAM YAKUT U, V7, P35

[8] Inverse boundary value problem for the linearized Benney-Luke equation with nonlocal conditions [J].

Megraliev, Ya T. ;

Velieva, B. K. .

VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI, 2019, 29 (02) :166-182

[9]

Megraliyev Ya.T, 2013, IZV VYSSH UCHEBN ZAV, V1, P19

[10]

[Мегралиев Яшар Топуш Mehraliyev Yashar Topush], 2011, [Вестник Южно-Уральского государственного университета. Серия: Математика. Механика. Физика, Vestnik Yuzhno-Ural'skogo gosudarstvennogo universiteta. Seriya: Matematika. Mekhanika. Fizika], P51

← 1 2 3 →