Riemann-Hilbert problem

A class of mutually exclusive condition for the Riemann-Hilbert problem

一类Riemann-Hilbert问题的互斥性条件

The generalized Riemann-Hilbert Problem far a multi-connected region of Second Order Non-linear Elliptic Equations

多连通域上二阶非线性椭圆型方程组广义黎曼-希尔伯特问题

Generalized Riemann-Hilbert Problem for Generalized Analytic Function

广义解析函数的广义Riemann-Hilbert问题

Inverse scattering transform and regular Riemann-Hilbert Problem

反散射变换和正规Riemann-Hilbert问题

On the Generalized Riemann-Hilbert Problem of Generalized Analytic Functions Having Two Carleman 's Shifts and Derivatives

广义解析函数带两个位移和导数的广义Riemann&Hilbert问题

The Riemann-Hilbert problem for first order linear elliptic complex equation with parabolic degeneracy is dealed with here .

讨论了一阶退化椭圆型复方程的RiemannHilbert边值问题。

This article deals with the Riemann-Hilbert problem for degenerate elliptic complex equations of first order in multiply connected domains .

讨论一阶退化椭圆型复方程在多连通区域上的RiemannHilbert边值问题。

In this paper the discontinuous Riemann-Hilbert problem for quasilinear elliptic complex equations of first order with degenerate rank 0 is discussed .

讨论退化秩为0的一阶拟线性椭圆型复方程的间断Riemann-Hilbert问题。

The fundamental solutions for a crack under concentrated pseudo-traction are given by using the Muskhelishvili ′ s complex potential theory and by the solution of Riemann-Hilbert problem .

采用Muskhelishvili复势理论和Riemann-Hilbert问题的解法，给出了裂纹表面受伪集中力作用时的基本解。

In this paper the representation formulae of the solution to nonlinear Riemann-Hilbert problem for a class of nth order systems are established , and the existence of the solution is proved by use of a priori estimation and Banach mapping theorem .

本文研究n阶方程组的非线性Riemann-Hilbert边值问题，建立该问题的解的表达式，并利用先验估计和Banach压缩映像原理证明解的存在性。

The generalized Riemann-Hilbert problem for the first order elliptic systems is studied . By using the generalized analytic function theorem , the singular integral theorem , and fixed-point theorem , it has been shown that the problem is solvable under certain assumptions .

讨论一阶椭圆型方程组的广义Riemann-Hilbert问题，利用广义解析函数和奇异积分理论以及不动点原理，证明在适当的假设下，此边值问题可解。

The Tricomi problem of second order equations of mixed type in a special domain was posed and discussed by previous authors , The present paper deals with the discontinuous Riemann-Hilbert problem for first order complex equations of mixed ( elliptic-hyperbolic ) type with parabolic degeneracy .

有些作者提出和讨论了在一些特殊区域上二阶混合型方程的Tricomi问题.本文讨论带抛物退化线的一阶混合型（椭圆双曲）型复方程的间断RiemannHilbert边值问题。

The Singular Case of Riemann-Hilbert Boundary Value Problem

关于黎曼&希尔伯特边值问题的奇异情形

Riemann-Hilbert Boundary Value Problem for a Class of Overdetermined Hyperbolic Equations

一类超定双曲型方程组的Riemann-Hilbert边值问题

On linear independent solution for the singular case of homogeneous Riemann-Hilbert boundary value problem of analytic functions

解析函数的齐次Riemann-Hilbert边值问题奇异情形的线性无关解

Riemann-Hilbert Boundary Value Problem for Generalized Hyperbolic Regular Functions in the General Bicylinder

一般柱形域上广义双曲正则函数的Riemann-Hilbert边值问题

The Riemann-Hilbert Boundary Value Problem for a First Order Hyperbolic Equation in Commutative Quaternion Algebra

可换四元数代数中一类一阶双曲方程的Riemann-Hilbert边值问题

The research was based on the principle of fracture mechanics , complex variable function method and the generalized Riemann-Hilbert boundary value problem theory .

研究基于断裂力学原理、复变函数方法以及Riemann-Hilbert（R-H）边值问题的一般理论。

The Riemann-Hilbert boundary value problem for the inhomogeneous Cauchy-Riemann equation in the polydomain is considered .

本文考虑多柱域上非齐次的Cauchy-Riemann方程的Riemann-Hilbert边值问题。

In this paper , we discuss the general case of the Riemann-Hilbert boundary value problem for analytic functions of several complex variables in several circular ring cylinder domain .

讨论多圆环柱域上多个复变量的解析函数的一般形式的Riemann-Hilbert边值问题。

By using the theory of pan-complex function , we study the properties of hyperbolic k-regular functions , and the representation is given . In addition , we study a class of Riemann-Hilbert boundary value problem for it .

利用泛复变函数的理论，研究双曲k-正则函数，得到它的一些性质和表示，并讨论其Riemann-Hilbert边值问题。

In this paper is analysed the generalized Riemann-Hilbert boundary value problem ( problem 1 ) for generalized analytic functions with two Carleman 's shifts and derivatives , which can be of the first , second , or higher orders .

本文讨论广义解析函数带两个Carleman位移和导数的广义及Riemann-Hil-bert问题（问题1），其中导数可以是一阶、二阶甚至是高阶的。

In this paper , the Riemann-Hilbert boundary value problem for a class of first order hyperbolic equation in commutative quaternion algebra is considered , and the general solutions and the solvable conditions of the problem in different cases are obtained .

讨论了可换四元数代数中一类一阶双曲方程的Riemann-Hilbert边值问题.获得了其解的一般形式，以及在不同情况下Riemann-Hilbert边值问题的可解条件。