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。
To solve the stability analysis problem arising from the integral term, we employ the singular perturbation theory to analyze the stability of the resulting closed-loop system.
闭环系统的稳定性证明采用了奇异扰动理论，以解决积分项的存在带来的稳定性分析问题。
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。
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。
By the singular integral equation theory we obtain the resolvable sufficient and necessary condition and the formula of counting index for the problem.
同时利用带位的奇异积分方程理论得到了这一问题可解的主要条件及指数计算公式。
The problem of a cylindrical interface crack is reduced to a system of singular integral equations with the aid of two unknown dislocation functions at the interface crack surface.
以裂纹面上的位错函数为未知量将圆柱型界面裂纹问题化成一组奇异积分方程的求解问题。
As an application we utilize the results presented in this paper to study the existence problem of solutions for a class of weakly singular integral equations.
作为所得结果的应用，讨论了弱奇异积分方程解的存在性问题。
As an application we utilize the results presented in this paper to study the existence problem of solutions for a class of weakly singular integral equations.
作为所得结果的应用，讨论了弱奇异积分方程解的存在性问题。
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