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《Journal of Systems Science and Mathematical Sciences》 2010-08
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LI Pingrun (School of Mathematical Sciences,Qufu Normal University,Qufu 273165)  
In this paper,a kind of singular integral equation containing both cosecant and convolution kernel with periodicity in class L_2[-π,π]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[-π,π]as well as the condition of solvability are obtained.
【Fund】: 曲阜师范大学科研启动基金资助
【CateGory Index】: O175.5
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