Riemann Boundary Value Problem with Square Roots on the Real Axis

被引：1

作者：

Zhong, Shouguo ^{[1
]}

Wang, Ying ^{[2
]}

Dang, Pei ^{[3
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

[2] Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Hubei, Peoples R China

[3] Macau Univ Sci & Technol, Fac Informat Technol, Taipa, Macao, Peoples R China

来源：

NEW TRENDS IN ANALYSIS AND INTERDISCIPLINARY APPLICATIONS | 2017年

关键词：

Branch; Real axis; Riemann boundary value problem; Sectionally holomorphic function; Square root;

D O I：

10.1007/978-3-319-48812-7_22

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the Riemann boundary value problem with square roots on the real axis X root Psi(+)(x) = G(x) root Psi(-)(x) + g(x), x is an element of X, in which a sectionally holomorphic unknown function Psi(z) having some zeros in the upper and lower half-planes, and we obtain the solution and solvability condition explicitly.

引用

页码：169 / 177

页数：9