中文摘要：

讨论了一类具有一阶奇异性解的奇异积分方程组的解法.当系数和核密度具有解析性时,通过引入Herm ite插值多项式,给出这类奇异积分方程组的直接解法,得到了其可解的充要条件和解的封闭形式.

英文摘要：

In this paper the direct method of solution for a class of systems of singular integral equations with solutions having singularities of order one is discussed. When the coefficients and kernel density are analytical, by introducing Hermite interpolation polynomials, a direct method of solution is given for this class of systems of singular integral equations. The necessary and sufficient condition for the solvability of the systems of singular integral equations and the close form of the solution are obtained.