ON SOLVABILITY OF AN EXTERNAL PROBLEM WITH IMPEDANCE BOUNDARY CONDITION FOR HELMHOLTZ EQUATION BY INTEGRAL EQUATIONS METHOD

被引：0

作者：

Heydarov, Rahib J. ^{[1
]}

机构：

[1] Ganja State Univ, Ganja, Azerbaijan

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2016年 / 42卷 / 01期

关键词：

Helmholtz equation; Dirichlet's boundary value problem; Neumann's boundary value problem; boundary value problem with impedance boundary conditions; singular integral equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper we study the solvability of an external problem with an impedance boundary condition for the Helmholtz equation by the method of weakly singular integral equations.

引用

下载

页码：3 / 9

页数：7

共 50 条

[31] On the solvability of a class of nonlinear singular parabolic equation with integral boundary condition
Belmouloud, Imane
Memou, Ameur
APPLIED MATHEMATICS AND COMPUTATION, 2020, 373
[32] On the Correct Solvability of the Dirichlet Boundary Value Problem for the Generalized Helmholtz Equation in a Strip
Kostin, V. A.
Kostin, D., V
Kostin, A., V
DOKLADY MATHEMATICS, 2021, 104 (01) : 184 - 187
[33] Boundary integral method for Helmholtz equation with a smooth open arc boundary
Li, Ruixia
Huadong Ligong Daxue Xuebao /Journal of East China University of Science and Technology, 1999, 25 (04): : 410 - 412
[34] A fast numerical method for a natural boundary integral equation for the Helmholtz equation
Li, Song-Hua
Sun, Ming-Bao
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 230 (02) : 341 - 350
[35] On the Correct Solvability of the Dirichlet Boundary Value Problem for the Generalized Helmholtz Equation in a Strip
V. A. Kostin
D. V. Kostin
A. V. Kostin
Doklady Mathematics, 2021, 104 : 184 - 187
[36] Solvability of a problem with a nonlocal integral condition for a differential equation in a Banach space
Tikhonov, IV
DIFFERENTIAL EQUATIONS, 1998, 34 (06) : 841 - 844
[37] To a Unique Solvability of a Problem with Integral Condition for Integro-Differential Equation
Abildayeva, A. D.
Kaparova, R. M.
Assanova, A. T.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2021, 42 (12) : 2697 - 2706
[38] Method of Boundary Integral Equations in the Mixed Problem for the Laplace Equation with an Arbitrary Partition of the Boundary
P. A. Krutitskii
Differential Equations, 2001, 37 : 78 - 89
[39] Method of boundary integral equations in the mixed problem for the Laplace equation with an arbitrary partition of the boundary
Krutitskii, PA
DIFFERENTIAL EQUATIONS, 2001, 37 (01) : 78 - 89
[40] To a Unique Solvability of a Problem with Integral Condition for Integro-Differential Equation
A. D. Abildayeva
R. M. Kaparova
A. T. Assanova
Lobachevskii Journal of Mathematics, 2021, 42 : 2697 - 2706

← 1 2 3 4 5 →