摘要
利用离散的Fourier变换首次讨论了具有变系数和余割核奇异积分的卷积型方程的求解,并在L2[-π,π]上得到了可解条件和一般解.
By using discrete Fourier transform the solution for a kind of singular integral equations of convolution type with variable coefficient and cosecant kernel is discussed firstly. The general solutionln L2[-π,π] as well as the condition of solvability are obtained.
出处
《天津师范大学学报(自然科学版)》
CAS
北大核心
2009年第4期11-13,54,共4页
Journal of Tianjin Normal University:Natural Science Edition
基金
曲阜师范大学科研启动基金项目
关键词
奇异积分方程
卷积核
余割核
变系数
singular integral equations
convolution kernel
cosecant kernel
variable coefficient