具一阶奇异性解的奇异积分方程组的直接解法  

Direct Method of Solution for Systems of Singular Integral Equations with Solutions Having Singularities of Order One

作　　者：姜海波[1] 

机构地区：[1]襄樊学院数学系

出　　处：《四川师范大学学报（自然科学版）》2007年第4期422-425,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(19971064)资助项目

摘　　要：讨论了一类具有一阶奇异性解的奇异积分方程组的解法.当系数和核密度具有解析性时,通过引入Herm ite插值多项式,给出这类奇异积分方程组的直接解法,得到了其可解的充要条件和解的封闭形式.In this paper the direct method of solution for a class of systems of singular integral equations with solutions having singularities of order one is discussed. When the coefficients and kernel density are analytical, by introducing Hermite interpolation polynomials, a direct method of solution is given for this class of systems of singular integral equations. The necessary and sufficient condition for the solvability of the systems of singular integral equations and the close form of the solution are obtained.

关 键 词：一阶奇异性解 奇异积分方程组 HERMITE插值多项式 直接解法 

分 类 号：O175.5[理学—数学]