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。

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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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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。

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