Cn中双球相交域上的奇异积分方程  

The Singular Integral Equations on the Intersection of Two Balls in C

作　　者：龚定东[1] 郭玉琴[2] Dingdong Gong;Yuqin Guo(Department of Mathematical Sciences,Zhejiang Sci-Tech University,Hangzhou 310018;Library,Zhejiang Sci-Tech University,Hangzhou 310018)

机构地区：[1]浙江理工大学数学科学系,杭州310018 [2]浙江理工大学图书馆,杭州310018

出　　处：《数学物理学报（A辑）》2022年第1期18-25,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金(11771400)。

摘　　要：C;中双球相交域上具有全纯核的奇异积分的Sokhotsky-Plemelj公式具有一种特殊的形式,它在边界上是分片连续的.利用这个Sokhotsky-Plemelj公式,在适当条件下得到了一个特殊的合成公式,并得到了常系数奇异积分方程和方程组的特征方程一个直接解,并把常系数奇异积分方程和方程组化为一类与之等价的Fredholm型方程和方程组.The Sokhotsky-Plemelj formula with holomorphic kernel on the intersection of two balls in C;has a special form,which is piecewise continuous on the boundary.By using this Sokhotsky-Plemelj formula the authors obtain a special composition formula,and get direct solutions to the characteristic equation of the singular integral equation and the system of the singular integral equations with constant coefficients,and convert the general singular integral equation and the system of the singular integral equations with constant coefficients to a Fredholm type equation and a system of equations which are equivalent to them.

关 键 词：复双球相交域 合成公式 奇异积分方程 奇异积分方程组 

分 类 号：O174.56[理学—数学]