The problem is reduced to a singular integral equation on cracks. The formulas for the stress intensity factors are also derived.
问题化为了裂纹上的奇异积分方程，并导出了应力强度因子公式。
Using proper decomposition of the functions and integral transformation, the problem is reduced to a singular integral equation, whose solution is given of the theory of integral equation.
笔者通过适当的函数分解和积分变换，将寻求复应力函数的问题转化为求解一正则型奇异积分方程，并借助积分方程理论给出了方程的求解方法。
A class of singular perturbation of nonlinear boundary value problem for integral differential equation involving two parameters is considered.
考虑了一类关于两个参数的微分积分方程非线性边值问题的奇摄动。
A formulation for the equivalent circuit parameters of the discontinuities with superior convergency is derived by the transverse resonance method with the singular integral equation technique.
利用横向谐振法结合奇异积分方程技术，导出了具有快速收敛特性的不连续性等效电路参量计算公式。
Especially, we give a calculation method for higher order singular integral by equation (3.1) when the wavelet function is unknown. At last, we create a convergence theorem.
特别是当小波函数未知时，借助于方程(3.1)，对高阶奇异积分作数值计算，建立了收敛性定理。
The posteriori error estimators in the collocation method for integral equation eigenvalue problem with a weakly singular kernel are presented.
给出矩形域上弱奇异积分算子本征值问题分片零次多项式配置法的后验误差估计式。
In this paper, the solvability for a class of nonlinear two-dimensional singular integral equation is considered in unit circular.
研究复平面单位圆域内一类非线性二维奇异积分方程的可解性。
The solution will lead to solve a hyper singular integral equation, when a double layer potential distribution formulation is used.
采用双层位势来表示解，要导至求解超强奇异型积分方程。
To begin with, a regularized boundary integral equation with indirect formulation is adopted to deal with the singular integrals and the boundary unknown quantities can be calculated accurately.
首先，采用间接制定正规化边界积分方程的奇异积分处理，可以计算出准确的边界未知量。
To begin with, a regularized boundary integral equation with indirect formulation is adopted to deal with the singular integrals and the boundary unknown quantities can be calculated accurately.
首先，采用间接制定正规化边界积分方程的奇异积分处理，可以计算出准确的边界未知量。
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