Daubecies interval wavalets are applied to discuss the numerical solutions of weak singular integral equations with irrational kernel :x(t)+B∫ 1 0|t-s| υx(s) d s=y(t)(-1<υ<0).
弱奇异积分方程的区间小波数值解朱同林１）林伟２）１）华南农业大学理学院基础部，５１０６４２，广州；２）中山大学数学系，５１０２７５，广州关键词弱奇异积分方程，区间小波，消失矩分类号（中图）Ｏ１７５；（１９９１ＭＲ）４５Ｅ本文讨论一类带无理函数积分核的。
Solution for the singular integral equation with Hilbert Kernel based on wavelet;
基于小波的带Hilbert核的奇异积分方程的解法
An existence result of a singular integral equation arising in boundary layer theory;
有关边界层问题中一类奇异积分方程新的存在性结果(英文)
The solution of a kind of singular integral equations;
一种奇异积分方程的解法
Using Somigiliana's formula, the general solutions and hypersingular integral equations for a three-dimensional impermeable crack problem in an infinite transversely isotropic piezoelectric solid under mechanical and electrical loads are given.
采用Somigiliana公式给出了三维横观各向同性压电材料中的非渗漏裂纹问题的一般解和超奇异积分方程,其中未知函数为裂纹面上的位移间断和电势间断。
As the cracks lie in one side of the bimaterial plane,the problem is reduced with finite-part integral conceptions to a set of hypersingular integral equations,in which the unknown functions are the displacement discontinuities on the crack surfaces.
基于双材料平面问题的弹性力学基本解,使用边界积分方程方法,在有限部积分的意义下,将双材料平面单侧多裂纹问题归结为1组以裂纹面位移间断为未知函数的超奇异积分方程组,根据有限部积分原理为其建立了数值算法,并给出了相应的应力强度因子计算公式。
In this paper, the problem of an arbitrarily shaped planar crack which is perpendicular to the interface of bimaterial and loaded by interior normal pressure is studied by means of the method of hypersingular integral equation in three dimensional fracture mechanics.
利用三维断裂力学的超奇异积分方程方法,对双材料空间中重直于界面的平片裂纹Ⅰ型问题进行了研究。
Two Classes of Singular Integral Equations of Convolution Type with Reflection
二类具有反射的卷积型奇异积分方程
The Direct Method of Soution for Singular Integral Equations with Soutions Having Singularities of order One;
具一阶奇异性解的奇异积分方程的直接解法
The Singular Integral Equations with Variable Coefficients on the Domain Built by Complex Biballs;
复双球垒域上变系数的奇异积分方程
A Reasoning for Inversion Formula of Hilbert Kernel Singular Integral Equation;
Hilbert核奇异积分方程反演公式的推导
A Kind of Special Curve Singular Intergral Equations with Hilbert Kernel
一种特殊曲线上的Hilbert核奇异积分方程
Singular Integral Equation with Hilbert Kernel in Solution Having Singularity of Order One;
一类具一阶奇性解的Hilbert核奇异积分方程
Singular Integral Equations on the Characteristic Manifold of Two Complex Hyper-sphere Topological Product Domains;
复超球拓扑积域特征流形上的奇异积分方程
Singular Integral Equations with Cauchy Kernel on the Complex Hyper-sphere Topological Product Domains
超球拓扑积域上的具有Cauchy核的奇异积分方程
Studies of Hyper-singular Integral Equation Method to Three-Dimensional Crack in Bi-materials;
三维双相材料裂纹问题的超奇异积分方程方法
The Solution of the First Class of Singular Intergral Equation with Cauchy Core along Simple Arc or Simple Arcwise Set;
简单弧（集）上带Cauchy核的第一类奇异积分方程的解
The solution of a kind of nonlinear singular integral quation on an open smootuly arc;
一种开口光滑弧上奇异积分方程的求解
Approximate solutions of hypersingular integral equations with cosecant kernel
带有余割核的超奇异积分方程的逼近解
High Accuracy Combination Algorithms for Solving Singular Integral Equations with Hilbert Kernel by Quadrature Methods
解带有Hilbert核的奇异积分方程的高精度组合算法
The Direct Method of Solution for Complete Singular Integral Equations with Solutions Having Singularities of High Order;
一类具高阶奇性解的完全奇异积分方程的直接解法
Existence of Positive Solutions for Singular and Nonsingular Fredholm Integral Equations;
奇异与非奇异Fredholm型积分方程正解的存在性
Equivalent Nonsingular Boundary Integral Equations and Engineering Application;
等价无奇异边界积分方程及工程应用
Cauchy Problems for Boussinesq Equation with Singular Integral Terms;
具有奇异积分项的Boussinesq方程的Cauchy问题
Some Kinds of Singular Integral Equation of Convolution Type with Hilbert Kernel;
某些类具有Hilbert核奇异积分的卷积型方程