无节点的含Hilbert核的完全奇异积分方程  

No-node Completely Singular Integral Equation Containing Hilbert Kernel

作　　者：庄雯雯[1] 姚艳玲[1] 

机构地区：[1]吉林师范大学数学学院,吉林四平136000

出　　处：《通化师范学院学报》2011年第4期13-14,共2页Journal of Tonghua Normal University

摘　　要：文中使用完全奇异积分的组成形式来研究无节点的含Hilbert核的完全奇异积分方程,旨在将无节点的含Hilbert核的完全奇异积分方程放在一个由很多封闭曲线且光滑互不相交的情况下来进行研究,并通过Fredholm方程推导出无节点的含Hilbert核的完全奇异积分方程的解.This paper used the constitute form of fully singular integral to study no node containing Hilbert kernel completely singular integral equation,aimed at putting no node containing Hilbert kernel of completely singular integral equation in many closed curve and smooth as well as mutually disjoint situation is studied and through Fredholm equation deduced no node containing Hilbert kernel completely singular integral Equation solution.

关 键 词：含Hilbert核的特征方程 周期R问题 FREDHOLM方程 

分 类 号：O29[理学—应用数学]