含Hilbert核的奇异积分方程组  

On Systems of Singular Integral Equations with Hilbert Kernel

作　　者：张军好[1] 胡军浩[1] 

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》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)

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.

关 键 词：HILBERT核 奇异积分方程组 可解性条件 解的表达式 

分 类 号：O343.8[理学—固体力学]