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.
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.
出处
《中南民族大学学报（自然科学版）》
CAS
2012年第3期105-107,共3页
Journal of South-Central University for Nationalities：Natural Science Edition
基金
国家自然科学基金资助项目(60904005)
关键词
HILBERT核
奇异积分方程组
可解性条件
解的表达式
Hilhert kernel
systems of singular integral equations
solvability condition
expression of solution
