奇异积分方程

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

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 .

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

一种特殊曲线上的Hilbert核奇异积分方程

A Kind of Special Curve Singular Intergral Equations 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

解带有Hilbert核的奇异积分方程的高精度组合算法

High Accuracy Combination Algorithms for Solving Singular Integral Equations with Hilbert Kernel by Quadrature Methods

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

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

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

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

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 .

含卷积核的奇异积分方程的Noether定理

The Noether Theorem of the Singular Integral Equation with Convolution Kernel

并对SH波入射的情形进行了详细的分析，求解了相应的奇异积分方程。

Taking SH wave as an example , the singular integral equation is solved by the use of the Chebyshev polynomials .

具有Bergman核的奇异积分方程

Singular Integral Equation With Bergman Kernel

这是一个带Cauchy核的奇异积分方程，应用Chebyshev多项式展开，求出此方程的解析解。

This is a singular integral equation with Cauchy kernal , we can find the analytic solution by using Chebyshev polynomial expension .

利用单裂纹的散射场建立了折线裂纹在SH波作用下的Cauchy型奇异积分方程。

By using the obtained scattered field of the single crack , Cauchy type singular integral equations for the broken crack are established .

一类核密度含参数的Cauchy核奇异积分方程关于积分曲线摄动的稳定性

The stability of Cauchy 's kernel singular integral equation with a parameter included in the kernel density on the perturbation of integral curve

根据所得奇异积分方程和Cauchy型积分的端点性质，得出了确定刚性线和界面交点处奇异性阶数的特征方程。

The characteristic equation of the singular stress order at the intersection is obtained using the integral equation and tip characteristic of Cauchy type integral .

通过引入Sherman变换，将求解裂纹的边值问题转化成了求解柯西核的奇异积分方程组。

By introducing a Sherman transformation , the boundary value problem is transformed into singular integral equation .

一般情况的（封闭或开口弧段曲线）含Hilbert核的奇异积分方程：的求解问题，主要通过转化为黎曼边值问题来研究。

General ( closed or open arc curve ) containing Hilbert kernel singular integral equation : Solving the problem , mainly through into Riemann value problem to study .

而在第二部分中，我们把第一部分的结果应用到Cauchy奇异积分方程，导出了其关于积分曲线摄动的稳定性的研究及其一些结果；

We apply some results of the first partition to the second partition and solve the stability of the solution to the Cauchy singular integral equation .

{α，β}类中含Cauchy核与卷积核的对偶型奇异积分方程非正则型解法

On method of solution in class { α,β } for the dual singular integral equation with Cauchy kernel and convolution kernel in the non-normal type case

带Carleman位移的奇异积分方程的正则化问题

Regularization Problem of Singular Integral Equation with Carleman Displacement

本文在L2[a，b]空间内研究非线性奇异积分方程组（1）。

The nonlinear singular integral equations in L2 [ a , b ] space are investigated .

再由裂纹边界条件建立以分布位错密度为未知函数的Cauchy型奇异积分方程。

Next by matching the traction along the cracks , Cauchy singular integral equations were obtained , in which the distributed dislocation density served as the unknown function .

在线性理论范围内此问题可化成Fredholm第一类奇异积分方程。

Within the limits of linearized theory , the problem was reduced to a Fredholm singular integral equation of the first kind .

利用积分变换方法，将含Grifith裂纹的无限长板条问题转化为Laplace变换域中一Cauchy型奇异积分方程。

By using the integral transform method , the problem of an infinitely long elastic strip with a Griffith crack is converted into a Cauchy type singular integral equation in Laplace transform domain .