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具有高奇性的Riemann—Hilbert边值问题
引用本文:谢素英.具有高奇性的Riemann—Hilbert边值问题[J].宁夏大学学报(自然科学版),1998,19(1):36-38.
作者姓名:谢素英
作者单位:河北大学数学系
摘    要:讨论边界条件具有高奇性的解析函数的Riemann-Hilbert边值问题。

关 键 词:Hadamard主值  奇性  Schwarz公式  R-H边值问题

RIEMANN HILBERT BOUNDARY VALUE PROBLEM WITH HIGH ORDER SINGULARITIES
Xie Suying.RIEMANN HILBERT BOUNDARY VALUE PROBLEM WITH HIGH ORDER SINGULARITIES[J].Journal of Ningxia University(Natural Science Edition),1998,19(1):36-38.
Authors:Xie Suying
Institution:Xie Suying Department of Mathematics,Hebei University,071002,Baoding,China
Abstract:This paper mainly deals with the resovability of Riemann Hilbert boundary value problem for nonlinear elliptic systems of first order,where the boundary condition is with high order singularities. First Schwarz formula with high order singularities are given by introducing Hadamard principal value and five operaters,and by using above formula,and then the representatives of solutions and the numbers of resovable conditions have heen obtained.
Keywords:Hadamard principal value  high order singularity  Schwarz formula  
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