一类含ζ核的奇异积分-微分方程的直接解法  

A Direct Method of Solution for A Class of Singular Integro-Differential Equations with ξ Kernel

作　　者：宋矞[1] 焦卫东[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《宁夏大学学报（自然科学版）》2007年第3期226-228,共3页Journal of Ningxia University(Natural Science Edition)

基　　金：宁夏大学数学计算机学院青年教师科研基金资助项目(0310)

摘　　要：研究了一类含ζ核的奇异积分-微分方程.利用推广的Plemelj公式构造出一阶微分方程,通过求解该方程直接得出此类奇异积分-微分方程的解,从而给出了这样一类复杂方程的直接解法及其可解条件.　A class of singular integro-differential equations with ξ kernel under some analytic conditions is discussed.Making use of the generalized Plemelj formula,a first order differential equation is constructed.Then,the solution of the singular integro-differential equation can be easily obtained through solving this equation.So the direct method of solution for these very complicated equations are gained,and the soluble condition is also given.

关 键 词：奇异积分-微分方程 双周期 解析函数 

分 类 号：O174[理学—数学]