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《Journal of Systems Science and Mathematical Sciences》 2010-08
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THE SINGULAR INTEGRAL EQUATIONS CONTAINING BOTH COSECANT AND CONVOLUTION KERNEL WITH PERIODICITY

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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【Citations】
Chinese Journal Full-text Database 2 Hits
1 Rong Erqian (Beijing University of Iron and Steel Technology)Li Xianfang (Zhongnan University of Technology);RIEMANN BOUNDARY PROBLEM WITH CONVOLUTION AND ITS APPLICATIONS[J];Journal of Mathematics;1990-01
2 Lu Jianke Wang Xiaolin;THE SINGULAR INTEGRAL EQUATIONS WITH THE KERNEL csc(t-t_0)/a[J];Journal of Wuhan University(Natural Science Edition);1980-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LUO Ying-yu,HAN Qi-xing,LI Yan (College of Mathematics,Changchun Normal University,Changchun 130032,China);A Kind of Riemann Boundary Problem with Radical Sing[J];Journal of Changchun Normal University(Natural Sciences);2008-12
2 XIAO Junhua1,XIE Xinliang1,XU Yaoling2,JIANG Chiping*1 (1.Institute of Solid Mechanics,Beijing University of Aeronautics and Astronautics,Beijing 100083,China; 2.Department of Engineering Mechanics,Yanshan University,Qinhuangdao 066004,China);Problem of doubly periodic coated fiber reinforced composites under antiplane shear[J];Acta Materiae Compositae Sinica;2008-03
3 ZHAO Shuang(Department of Mathematics and Computational Science,Suihua University,Suihua 152061,China);The periodic compound boundary value problem with discontinuous coefficients[J];Journal of Science of Teachers' College and University;2009-06
4 Xie Xinliang1,Xiao Junhua1,Xu Yaoling2,Jiang Chiping1(1.School of Aeronautic Science and Engineering,Beijing University of Aeronautics and Astronautics, Beijing 100083,China)(2.School of Civil Engineering and Mechanics,Yanshan University,Qinhuangdao 066004,China);Analysis for Doubly Periodic Coated Fiber Piezoelectric Composite Materials Under Antiplane Shear[J];Acta Aeronautica Et Astronautica Sinica;2008-02
5 TIAN Dong-mei;The Study of Boundary Value Problemwith Radicals in an Open Couter[J];Journal of Kashgar Teachers College;2007-06
6 TIAN Dong-mei (School of Basic Courses Guangdong Pharmaceutical University,Guangzhou 510006,Guangdong);In Clifford Analysis Riemann Boundary Value Inverse Problemwith Regular Functional Vector[J];Journal of Kashgar Teachers College;2008-03
7 FENG Fu-cun(Department of Mathematics,Ningxia Teachers University,Guyuan,Ningxia 756000);A Kind of Special Curve Singular Intergral Equations with Hilbert Kernel[J];Journal of Mianyang Normal University;2009-02
8 WU Feng-min,LIU Hao(No.2 High School of Nanyang City, Nanyang 473000,China);A class of inverse Riemann boundary value problems with square roots[J];Journal of Nanyang Normal University;2009-06
9 Chen Mengcheng(School of Civil Engineering and Architecture,East China Jiaotong University,Nanchang 330013,China);Numerical Methods of Singular Integral Equations in Fracture Mechanics[J];Journal of East China Jiaotong University;2010-03
10 SHEN Yongxiang(Jilin Normal University, Siping 136000,China);Some Problems on the Solution of the Singular Integral Equations with Both Cauchy Kernel and Convolution Kernels[J];Jilin Normal University Journal (Natural Science Edition);2003-01
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 Wang Chuanrong (The Department of Mathematics );HIGHER ORDER SINGULAR INTEGRAL EQUATION[J];Journal of Fuzhou University(Natural Sciences Edtion);1985-04
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