柯西积分公式，高阶导数公式；
讨论具有某种特征映射的类似柯西积分定理的结论。
A discussion on some characterized mapping conclusions similar to Cauchy integral theorem.
对具有半无限长裂纹的无限大板采用的分析方法是柯西积分。
The analytical method is Cauchy integration for a infinite plate with semi-infinite crack.
介绍了柯西积分概念及定义在区间上的实函数的勒贝格积分概念，并将两者加以比较。
This article represents Cauchy Integral Concept and Lebesgue Integral Concept. It also compares the two concepts.
本文采用引进积分的方法讨论一类半线性抛物型方程柯西问题解的唯一性与稳定性。
This paper by introducing integral deals with the uniqueness and stability of solution of the Cauchy problem to a form of semi-linear parabolic equation.
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.
在第二章中，引入了积分抽象时滞方程的概念，并且得到积分抽象时滞方程的适定性与相应的积分柯西问题适定性等价。
In the second chapter, the concept of an integrated abstract delay equation is introduced, and the equivalence of the well - posedness of an integrated delay eq.
并对奇异积分（柯西主值积分）的计算进行了特殊处理。
The calculation of singular integrals are treated by special process.
运用共形映照、解析延拓以及柯西型积分运算等复变函数方法研究无限大平面中楔型向错偶极子与界面裂纹、圆形夹杂的弹性干涉问题。
The interaction among a screw dislocation, circular inclusion and interface crack or elliptical inclusion and interface crack under remote uniform heat flux is mainly researched in this paper.
运用共形映照、解析延拓以及柯西型积分运算等复变函数方法研究无限大平面中楔型向错偶极子与界面裂纹、圆形夹杂的弹性干涉问题。
The interaction among a screw dislocation, circular inclusion and interface crack or elliptical inclusion and interface crack under remote uniform heat flux is mainly researched in this paper.
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