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
收藏
页码：1249 / 1266
页数：18
相关论文
共 50 条
  • [21] A NEW HALF-DISCRETE HILBERT-TYPE INEQUALITY IN THE WHOLE PLANE
    Yang, Bicheng
    He, Bing
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (03): : 977 - 991
  • [22] Nonlinear Riemann-Hilbert Problems and Boundary Interpolation
    Gunter Semmler
    Elias Wegert
    Computational Methods and Function Theory, 2004, 3 (1) : 179 - 199
  • [23] A half-discrete Hilbert-type inequality with a homogeneous kernel and an extension
    Yang, Bicheng
    Chen, Qiang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
  • [24] A new more accurate half-discrete Hilbert-type inequality
    Aizhen Wang
    Bicheng Yang
    Journal of Inequalities and Applications, 2012
  • [25] On a half-discrete Hilbert-type inequality related to hyperbolic functions
    You, Minghui
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [26] Half-discrete Hilbert-type inequalities involving differential operators
    Vandanjav Adiyasuren
    Tserendorj Batbold
    Mario Krnić
    Journal of Inequalities and Applications, 2014
  • [27] A Half-Discrete Hilbert-Type Inequality in the Whole Plane with Multiparameters
    Ma, Qunwei
    Yang, Bicheng
    He, Leping
    JOURNAL OF FUNCTION SPACES, 2016, 2016
  • [28] A new more accurate half-discrete Hilbert-type inequality
    Wang, Aizhen
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [29] On the Riemann Hilbert type problems in Clifford analysis
    Ricardo Abreu Blaya
    Juan Bory Reyes
    Advances in Applied Clifford Algebras, 2001, 11 (1) : 15 - 26
  • [30] On a half-discrete Hilbert-type inequality related to hyperbolic functions
    Minghui You
    Journal of Inequalities and Applications, 2021
12345