中文摘要：

讨论了一类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Hermite插值多项式，给出这类奇异积分方程组的直接解法，得到其可解的充要条件及解的封闭形式．最后给出了它的一个应用．

英文摘要：

In this paper, the method of soluting singular integral equations is discussed. When coefficient and kernel density are analytical, by introducing Hermite interpolation polynomials, the direct method of soluting this class of systems singular integral equations is presented. The necessary and sufficient condition for the solvability of the systems of singular integral equations and the close form of the solution are obtained. An application about systems of singular integral equations is given.