Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Beihua University(Natural Science)》 2009-01
Add to Favorite Get Latest Update

Two Classes of Singular Integral Equations of Convolution Type with Reflection

LI Ping-run,WANG Ming-hui (Mathematics Science College of Qufu Normal University,Qufu 273165,China)  
Two classes of singular equations of convolution type with Cauchy kernel and reflection will be set up and discussed.By using theories of Fourier transform,transferring these two classes of eqations into Riemann boundary value problems with discontinuous coefficient and reflection.According to the method of solution classical Riemann boundary value problem,the general solution and condition of solvability in class {0} are obtained respectively.
【Fund】: 国家自然科学基金项目(10771073)
【CateGory Index】: O175.5
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 2 Hits
1 LI Ping-run①,CAO Li-xia②(①School of Mathematicl Sciences,Qufu Normal University,273165,Qufu,Shandong; ②Mathematies College,Northeast Petroleum University,163318,Daoqing,Hei longjiang,PRC);Singular Integral Equations with Hilbert Kernel and Convolution Kernel[J];Journal of Qufu Normal University(Natural Science);2012-03
2 LI Pingrun(School of Mathematical Science,Qufu Normal University,Qufu 273165,Shandong Province,China);A kind of singular integral equations of convolution type with variable coefficient and cosecant kernel[J];Journal of Tianjin Normal University(Natural Science Edition);2009-04
【Citations】
Chinese Journal Full-text Database 2 Hits
1 LI Ping-run(College of mathematics,Qufu Normal University,273165,Qufu,Shangdong,PRC);On the Solution of Singular Integral Equations with Both Cosecant and Convolution Kernel[J];Journal of Qufu Normal University(Natural Science);2007-02
2 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
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 CHEN Zhen-hua1,GUO Ding-hui2(1.Geng Dan Institute,Beijing University of Technology,Beijing 101301,China;2.Institute of Science,Beijing University of Aeronautics and Astronautics,Beijing 100080,China);Solving and Analysis of the Riemann Problem with the Square Root on the Node Curve[J];Journal of Jiangxi Normal University(Natural Science Edition);2011-01
2 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
3 SUN Feng-qi,SHEN Yong-xiang (Department of Mathematics, Jiling Normal University, Siping 136000,China);On method of solution for a class of dual completing singular integral equation with two convolution kernels[J];Journal of Northeast Normal University (Natural Science Edition);2002-03
4 LIANG Huai-xue (Department of Mathematics,Jilin Normal University,Siping 136000,China);The solution of RH-boundary value problem for the Riemann non-normal under the contour curve L[J];Journal of Northeast Normal University (Natural Science Edition);2004-03
5 SUN Feng-qin,SHEN Yong-xiang(College of Mathematics,Jilin Normal University,Siping 136000,China);Method of solution for the general compound boundary value problem in the non-normal type case[J];Journal of Northeast Normal University;2006-01
6 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
7 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
8 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
9 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
10 YAO Cun,LIN Feng(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China);Several Properties of Random Integral of Random Process with Second Order Moment[J];Journal of Huaqiao University(Natural Science);2011-04
【Co-references】
Chinese Journal Full-text Database 3 Hits
1 Lu Jianke(Department of Mathematics,Wuhan University,Wuhan,430072);ON HILBERT BOUNDARY VALUE PROBLEMS WITH SQUARE ROOT[J];Mathematical Theory and Application;2003-03
2 LI Ping-run(College of mathematics,Qufu Normal University,273165,Qufu,Shangdong,PRC);On the Solution of Singular Integral Equations with Both Cosecant and Convolution Kernel[J];Journal of Qufu Normal University(Natural Science);2007-02
3 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
【Secondary References】
Chinese Journal Full-text Database 1 Hits
1 LI Ping-run①,CAO Li-xia②(①School of Mathematical Sciences,Qufu Normal University,273165,Qufu,Shandong; ②School of Mathematics and Technology,Northeast Petroleum University,163318,Daqing,Heilongjiang,PRC);Periodic Riemann Boundary Value Inverse Problems of Non-normal Type[J];Journal of Qufu Normal University(Natural Science);2013-01
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 Shen Yongxiang Dept. of Math., Si Ping Normal College, Si Ping, China;SOME KINDS OF SINGULAR INTEGRAL EQUATIONS OF HILBERT KERNEL WITH CONVOLUTION[J];数学物理学报(英文版);1989-04
2 Lin Yubo(Yunnan Normal Uuiversity);THE JUMP PROBLEM OF EXCEPTIONAL TYPE[J];Journal of Mathematics;1989-01
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved