In this paper, we study the direct method of solution for a class of singular integral equations with solutions having singularities of order one.
本文研究了一类具有一阶奇异性解的完全奇异积分方程的直接解法。
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。
So far, the numerical techniques solving the hyper-singular integral equations are established, and these are called finite-part integral-boundary element method.
从而完成了超奇异积分方程组数值法的建立，这一方法现称之为有限部积分——边界元法。
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。
By the first integral method, the existence, uniqueness and nonexistence of solutions for some nonlinear ordinary differential equations with singular boundary condition are discussed.
用首次积分法，讨论了带奇异边界条件的非线性常微分方程解的存在性、不存在性和唯一性。
By the first integral method, the existence, uniqueness and nonexistence of solutions for some nonlinear ordinary differential equations with singular boundary condition are discussed.
用首次积分法，讨论了带奇异边界条件的非线性常微分方程解的存在性、不存在性和唯一性。
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