摘要
本文研究了一类具有一阶奇异性解的完全奇异积分方程的直接解法.利用推广的留数定理和Hermite插值多项式,得到了其可解的充要条件和解的封闭形式.
In this paper,we study the direct method of solution for a class of complets singular integral equations with solutions having singularities of order one. By using the extended residue theorem and Hermite interpolation polynomials, the necessary and sufficient condition for the solvability and the closed form of the solution are obtained.
出处
《数学杂志》
CSCD
北大核心
2007年第2期222-226,共5页
Journal of Mathematics
基金
国家自然科学基金资助项目.
关键词
直接解法
HERMITE插值多项式
一阶奇异性
the direct method of solution
Hermite interpolation polynomials
singularities of order one
