具一阶奇异性解的奇异积分方程的直接解法  

THE DIRECT METHOD OF SOLUTION FOR SINGULAR INTEGRAL EQUATIONS WITH SOLUTIONS HAVING SINGULARITIES OF ORDER ONE

作　　者：姜海波[1] 杜金元[1] 

机构地区：[1]武汉大学数学与统计学院,湖北武汉430072

出　　处：《数学杂志》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.

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.

关 键 词：直接解法 HERMITE插值多项式 一阶奇异性 

分 类 号：O175.5[理学—数学]