柯西型积分

关于向量值函数柯西型积分的边值问题

The boundary value of vector-valued Cauchy type integrals

为了改善方程组的稳定牲，将文献[3]中所用的柯西型积分公式，改为奇异积分方程。

The singular integral equation is used to provide stable solutions .

柯西型积分的高阶导数公式证明

Proof of Higher Order Derivative Formula for Cauchy Type Integral

讨论曲线上柯西型奇异积分利用三次复样条进行近似计算的误差估计，对于相关函数类给出了这类逼近的误差阶。

This paper discusses the estimation of approximation orders of singular integrals over a general curve by means of cubic complex spline .

本文使用非均匀平面问题的单裂纹解及富氏变换方法，使问题归为一个柯西型奇异积分方程，最后对应力强度因子的计算给出了若干数值例子。

Using single crack solution of the inhomogeneous plane problem and Fourier transform technique , the problem is reduced to a Cauchy-type singular integral equation . Several numerical examples to calculate the stress intensity factors are carried out .

但在界面裂纹时，却归结为解一组与各向同性粘接板条不同的二类柯西型奇异积分方程。

But in the case of interface cracks , the problem leads to solve a pair of Cauchy-type singular integral equations of the second kind , which differs basically in coefficients of the equations obtained from the interface crack problems of bonded isotropic strips .