中文摘要：

利用复变函数的方法讨论了含Hilbert核的奇异积分方程组,将其转化为周期Riemann边值组问题,并给出了方程组的可解性条件及解的一般表达式.

英文摘要：

In this paper, the systems of singular integral equations with Hilbert kernel are discussed by complex variable methods. The problems are transfered to Riemann boundary value problems of periodic systems for analytic functions. The solvability condition of the problems is proved and explicit solution of the problems is obtained.