摘要
文中应用非退化Weil多面体积表示的C-Plemelj公式证明该奇异积分的置换公式并研究奇异积分方程,证明具非退化Weil核的变系数奇异积分方程可化成Fredholm型方程,而相应的常系数奇异积分方程与Fredholm方程等价且其特征方程在H类中有唯一解。
The author proves the replacement formula of singular integral with nonde-generate Weil pdyhedron. Furthermore .the author staples the singular integral equation and obtains that the singular integral equation of varied coefficients is a Fredholm form equation. When coefficients are complex constants,then the characteristic equation has unique solution which belongs to H and the singular integral equation is eguivalent to 9 Fredholm eguation in conventional condition.
出处
《厦门大学学报（自然科学版）》
CAS
CSCD
北大核心
1993年第1期7-12,共6页
Journal of Xiamen University：Natural Science
基金
福建省自然科学基金
关键词
非退化
奇异积分方程
魏伊多面体核
Nondegenerate Weil polyhedron kernel ,Replacement formula,Singular integral equation
