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,并首先在L2[-π,π]上得到了可解条件和一般解.
In this paper,the method of solution for a kind of singular integral equation of convolution type with variable coefficient and cosecant kernelconvolution is discussed, using the theories of the discrete Fourier transform. The general solution in class L2 [-π,π] as well as the condition of solvability are firstly obtained.
出处
《德州学院学报》
CAS
2009年第2期11-14,54,共4页
Journal of Dezhou University
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