一类具有反射与卷积核的奇异积分方程的解法(英文)  

Solutions for A Kind of Singular Integral Equations with Both Convolution Kernel and Reflection

作　　者：李平润[1] 曹丽霞[2] 

机构地区：[1]曲阜师范大学数学科学学院,山东省曲阜市273165 [2]东北石油大学数学科学与技术学院,黑龙江省大庆市163318

出　　处：《曲阜师范大学学报（自然科学版）》2014年第4期21-25,共5页Journal of Qufu Normal University(Natural Science)

基　　金：Supported by the Qufu Normal University Youth Fund(XJ201218)

摘　　要：提出并讨论了一类具有反射与卷积核的Wiener-Hopf型奇异积分方程,利用Fourier变换将其转化为具有反射与间断系数的Riemann边值问题,在函数类中得到了此类方程的封闭解和相应的可解条件.In this paper,one kind of singular integral equation of Wiener-Hopf type containing both con-volution kernel and reflection is set up and discussed.By using Fourier transform,this class of equation is trans-formed into a Riemann boundary value problem with both discontinuous coefficients and reflection,the closed solution and the conditions of solvability are obtained.

关 键 词：反射 卷积型奇异积分方程 Wiener-Hopf型 典则解矩阵 

分 类 号：O175.5[理学—数学] O175.8[理学—基础数学]