Hilbert Problem for the Cauchy–Riemann Equation with a Singular Circle and a Singular Point

被引：0

作者：

Rasulov A.B. ^{[1
]}

Bobodzhanova M.A. ^{[1
]}

Fedorov Y.S. ^{[1
]}

机构：

[1] National Research University “Moscow Power Engineering Institute,”, Moscow

来源：

Journal of Mathematical Sciences | 2019年 / 241卷 / 3期

关键词：

35F15; generalized Cauchy–Riemann-type system; Hilbert problem; singular integral equation;

D O I：

10.1007/s10958-019-04427-2

中图分类号：

学科分类号：

摘要：

We examine a generalized Cauchy–Riemann-type system whose coefficients have singularities, construct the resolvent of the corresponding integral equation, and find an integral representation of the general solution. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：327 / 339

页数：12

共 50 条

[21] On a boundary value problem for the heat equation and a singular integral equation associated with it
Amangaliyeva, Meiramkul
Jenaliyev, Muvasharkhan
Iskakov, Sagyndyk
Ramazanov, Murat
APPLIED MATHEMATICS AND COMPUTATION, 2021, 399
[22] Riemann problem and singular integral equations with coefficients generated by piecewise constant functions
A. A. Karelin
G. Pérez Lechuga
A. A. Tarasenko
Differential Equations, 2008, 44 : 1225 - 1235
[23] Computing the singular behavior of solutions of Cauchy singular integral equations with variable coefficients
Li, J
Srivastav, RP
APPLIED MATHEMATICS LETTERS, 1997, 10 (03) : 57 - 62
[24] Singular integral equations of convolution type with Hilbert kernel and a discrete jump problem
Li, Pingrun
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[25] Singular integral equations of convolution type with Hilbert kernel and a discrete jump problem
Pingrun Li
Advances in Difference Equations, 2017
[26] The Riemann boundary-value problem and singular integral equations with piecewise constant coefficients
A. A. Karelin
G. P. Lechuga
A. A. Tarasenko
Russian Mathematics, 2008, 52 (2) : 71 - 74
[27] The Riemann boundary-value problem and singular integral equations with piecewise constant coefficients
A. A. Karelin
G. P. Lechuga
A. A. Tarasenko
Russian Mathematics, 2008, 52 (2) : 71 - 74
[28] A problem with an analog of Frankl condition on the characteristics for gellerstedt equation with singular coefficient
Mirsaburov M.
Chorieva S.T.
Russian Mathematics, 2017, 61 (11) : 34 - 39
[29] A Problem with Analogue of the Frankl and Mixing Conditions for the Gellerstedt Equation with Singular Coefficient
Mirsaburova, D. M.
RUSSIAN MATHEMATICS, 2024, 68 (06) : 30 - 41
[30] On a Problem with Shift on Pieces of Boundary Characteristics for the Gellerstedt Equation with Singular Coefficients
M. Kh. Ruziev
Lobachevskii Journal of Mathematics, 2022, 43 : 484 - 495

← 1 2 3 4 5 →