奇异积分

在平面有界域上考虑二维奇异积分方程这里G是有界单连通域，记。

In this paper , singular integral equations are considered , where G is bounded domain in the plane .

Cauchy核奇异积分关于R类积分曲线的稳定性

The stability of Cauchy kennel singular integral with integral curve of the class

奇异积分方程在E面鳍形膜片不连续性问题中的应用

Singular Integral Equation Technique for the Analysis of E-Plane Fin Septa Discontinuities

强奇异积分算子交换子的一个变形sharp函数估计

A Variant Sharp Function Estimate for Commutators of Strongly Singular Integral Operators

为了获得被积函数的0（1／r）奇异积分高精度的解，采用坐标转化的方法，消除被积函数中的弱奇异积分。

In order to calculating the weak singular integral , the coordinate transform method is used .

Fourier级数的典型平均和某些奇异积分

Typical means of Fourier series and some singular integrals

在电渗透裂纹和非电渗透型的裂纹假设下，利用Fourier积分变换，把相应的混合边值问题转化为求解奇异积分方程。

By using the Fourier transform , the associated problem is reduced to a singular integral equation .

带Hilbert核的奇异积分方程的数值解法

On the numerical solution for Singular Integral Equations with Hilbert kernel

含Hilbert核的奇异积分带重结点的求积公式

Quadrature formulae with multiple nodes for Singular Integrals with Hilbert kernel

本文建立了强奇异积分算子一阶交换子的一个变形sharp函数估计。

In this paper , a variant sharp function estimate is established for commutators of strongly singular integral operators .

某些类具有Hilbert核奇异积分的卷积型方程

Some Kinds of Singular Integral Equation of Convolution Type with Hilbert Kernel

瞬态反平面动力学问题的Cauchy型奇异积分方程解法

Cauchy Singular Integral Equation Method for Transient Antiplane Dynamic Problems

Clifford分析中高阶奇异积分和边值问题

High Order Singular Integrals and Boundary Value Problems in Clifford Analysis

一类新的非线性Volterra奇异积分不等式的离散模拟

Discrete analogues of a new class of nonlinear Volterra singular integral inequalities

超球拓扑积域上的具有Cauchy核的奇异积分方程

Singular Integral Equations with Cauchy Kernel on the Complex Hyper-sphere Topological Product Domains

奇异积分交换子在Hardy型空间上的估计

Commutators of singular integrals on Hardy type spaces

带Hilbert核奇异积分方程特征方程的Galerkin方法

The Galerkin Method for the Characteristic Equations of the Singular Integral Equations with Hilbert Kernel

文中基于B样条函数插值，推导了二维静态场中样条边界元法的计算公式，有效地处理了边界角点和奇异积分问题。

Based on B-spline function interpolation , the formulation of calculation of two dimensional statical electromagnetic field problems is obtained . Boundary corner and singular integration problems are efficiently handled .

具有Hilbert核非正则型奇异积分方程的直接解法

The Direct Method of Solution for the Non-normal Type of Singular Integral Equation with Hilbert Kernel

加权Hardy空间上的奇异积分有界性

Boundedness of Singular Integrals on Hardy Spaces

θ（t）型奇异积分算子在各向异性Hardy空间的有界性

Boundedness of θ( t ) - type Singular Integral Operators in the Anisotropic Hardy Space

本文讨论了在Fourier变换下弹性动力学方程边界元方法中的奇异积分的一种计算方法。

In this paper , a calculation formula to compute singular intergral for elastodynamics under Fourier transform using Boundary Element Methods is discussed .

Clifford分析中奇异积分的反转公式

The inverse formula of singular integrals in Clifford Analysis

问题求解最后归结为求解一组Cauchy型奇异积分方程。

Solution of the problems reduces to solving a set of Cauchy type singular equations .

封闭曲线上带Cauchy核奇异积分方程的稳定性

Stability of the Solution of Singular Integral Equations with Cauchy Kernel on a Closed Curve

Clifford分析中于特征流形上奇异积分方程的正则化

The Regularization Theorem of the Singular Integral Equations on Characteristic Manifold in Clifford Analysis

高阶奇异积分的Hadamard主值

Hadamard principal value of higher order singular integrals

MAPLE用于轴对称热传导问题边界奇异积分计算

Using MAPLE on the Calculation of Singular Boundary Integrations in Thermal Conduction Problems of Symmetrical Structures

一类奇异积分和Cauchy型积分关于积分曲线的稳定性

On Stability of a Class of Singular Integral and Cauchy Type Integral with Respect to Path of Integration

同时利用所得公式对Clifford分析中奇异积分方程组的可解条件进行了讨论；

Then using these formulae , study the solvable conditions of singular integral system in Clifford analysis .