Riemann–Hilbert-type Boundary Value Problems on a Half Hexagon

被引：0

作者：

Mohamed AKEL ^{[1
,2
]}

Fatimah ALABBAD ^{[2
]}

机构：

[1] Mathematics Department, Faculty of Science, South Valley University

[2] Mathematics Department, Collage of Science, King Faisal

来源：

ActaMathematicaSinica | 2017年 / 33卷 / 09期

关键词：

D O I：

暂无

中图分类号：

O175.8 [边值问题];

学科分类号：

摘要：

In this article we discuss the explicit solvability of both Schwarz boundary value problem and Riemann–Hilbert boundary value problem on a half hexagon in the complex plane. Schwarz-type and Pompeiu-type integrals are obtained. The boundary behavior of these operators is discussed.Finally, we investigate the Schwarz problem and the Riemann–Hilbert problem for inhomogeneous Cauchy–Riemann equations.

引用

页码：1249 / 1266

页数：18

共 50 条

[31] Half-discrete Hilbert-type inequalities involving differential operators
Adiyasuren, Vandanjav
Batbold, Tserendorj
Krnic, Mario
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[32] A half-discrete Hilbert-type inequality with a homogeneous kernel and an extension
Bicheng Yang
Qiang Chen
Journal of Inequalities and Applications, 2011
[33] New results concerning a singular integral operator and Riemann-Hilbert boundary value problems
G. M. Magomedov
A. M. Nurmagomedov
Doklady Mathematics, 2008, 78 : 696 - 698
[34] New Results Concerning a Singular Integral Operator and Riemann-Hilbert Boundary Value Problems
Magomedov, G. M.
Nurmagomedov, A. M.
DOKLADY MATHEMATICS, 2008, 78 (02) : 696 - 698
[35] On Hilbert boundary value problems with radical
Lu, JK
ACTA MATHEMATICA SCIENTIA, 2005, 25 (04) : 755 - 760
[36] ON HILBERT BOUNDARY VALUE PROBLEMS WITH RADICAL
路见可
ActaMathematicaScientia, 2005, (04) : 755 - 760
[37] On a Hilbert-Type Integral Inequality in the Whole Plane Related to the Extended Riemann Zeta Function
Rassias, Michael Th
Yang, Bicheng
COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (04) : 1765 - 1782
[38] The Riemann-Hilbert Approach to Initial-Boundary Value Problems for Integrable Coherently Coupled Nonlinear Schrodinger Systems on the Half-Line
Hu, Beibei
Xia, Tiecheng
Ma, Wen-Xiu
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2018, 8 (03) : 531 - 548
[39] Note on Hilbert-type inequalities
Vukovic, Predrag
TURKISH JOURNAL OF MATHEMATICS, 2012, 36 (02) : 253 - 262
[40] On a Hilbert-Type Integral Inequality in the Whole Plane Related to the Extended Riemann Zeta Function
Michael Th. Rassias
Bicheng Yang
Complex Analysis and Operator Theory, 2019, 13 : 1765 - 1782

← 1 2 3 4 5 →