复超球拓扑积域上一类常系数奇异积分方程  

A Kind of Singular Integral Equations with Constant Coefficient on the Complex Hyper-sphere Topological Product Domains

作　　者：曾招云[1] 胡琳[1] 

机构地区：[1]平顶山学院,河南平顶山467000

出　　处：《平顶山学院学报》2009年第5期62-64,共3页Journal of Pingdingshan University

摘　　要：利用2个复超球拓扑积上的B型和h型积分及2组复合奇异算子之间的关系,研究了在2个复超球拓扑积域特征流形上的一类具有常系数的奇异积分方程,得到了关于这类方程的一般解法:先将其转化成与之等价的Fredholm方程,然后进行求解并得到了解的一般表达式.最后讨论了奇异积分方程的几种特例情形.In this paper, we study a kind of singular integral equations with constant coefficients on the characteristic manifold of two complex hyper - sphere topological product domains by using the B - type and h - type integral and the relation of two composition singular integral operators on the hyper - sphere topological product domains, and obtain the usual solution of singular integral equation of this kind ： first, turning it into a equivalent Fredholm equation, then obtaining the representation of the solution of this equation, and at last, discussing some special cases of singular integral equation.

关 键 词：超球拓扑积 常系数 奇异积分方程 

分 类 号：O174.5[理学—数学]