%0 Journal Article
%T THE SINGULAR INTEGRAL EQUATIONS CONTAINING BOTH COSECANT AND CONVOLUTION KERNEL WITH PERIODICITY<br>具周期性的含卷积核与余割核混合的积分方程
%A LI Pingrun
%A <br>李平润
%J 系统科学与数学
%D 2010
%I 
%X In this paper, a kind of singular integral equation containing both cosecant and convolution kernel with periodicity in class $L_2-\pi, \pi]$ is discussed. The problem is turned into simple discrete equation or jumping problem, by using the theory of discrete Fourier transform. The explicit representation of general solution in class $L_2-\pi, \pi]$ as well as the condition of solvability are obtained.
%K Singular integral equations
%K convolution kernel
%K cosecant kernel
%K periodicity
%K discrete Fourier transform<br>奇异积分方程
%K 卷积核
%K 余割核
%K 周期性
%K 离散的Fourier变换.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=DFF5C58B0D45E6B9E5043119559379C3&yid=140ECF96957D60B2&vid=340AC2BF8E7AB4FD&iid=5D311CA918CA9A03&sid=D5BEB939E141E547&eid=EF10DC5E94EFF05A&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=13