| Singular Integral Equations with Cosecant Kernel in Solutions with Singularities of High Order |
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| 作者姓名： | HAN Hui-li DU Jin-yuan . School of Mathematics and Statistics Wuhan University Wuhan Hubei China . School of Mathematics and Computer Ningxia University Yinchuan Ningxia China . |
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| 作者单位： | HAN Hui-li 1，2，DU Jin-yuan 1，3 1. School of Mathematics and Statistics，Wuhan University，Wuhan 430072，Hubei，China; 2. School of Mathematics and Computer，Ningxia University，Yinchuan 750021，Ningxia，China; 3. Department of Mathematics，Hubei Institute for Nationalities，Enshi 445000，Hubei，China |
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| 基金项目： | Supported by the National Natural Science Foundation of China(19971064，10161009) |
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| 摘 要： | 0 IntroductionIn Ref. 1 3], Lu Jian ke first discussed singular integralequations with solutions having singularities of order oneK≡a(t0)(t0) b(t0)πi∫L(t)t- t0dt ∫Lk(t0,t)(t)dt= f(t0), t0 ∈L (1)wh
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| 关 键 词： | 奇积分方程 余割 计算方法 边值问题 |
| 收稿时间： | 29 March 2004 |
Singular integral equations with cosecant kernel in solutions with singularities of high order |
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| Han Hui-li,Du Jin-yuan.Singular Integral Equations with Cosecant Kernel in Solutions with Singularities of High Order[J].Wuhan University Journal of Natural Sciences,2005,10(2):339-343. |
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| Authors: | Han Hui-li Du Jin-yuan |
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| Institution: | (1) School of Mathematics and Statistics, Wuhan University, 130072 Wuhan, Hubei, China;(2) School of Mathematics and Computer, Ningxia University, 750021 Yinchuan, Ningxia, China;(3) Department of Mathematies, Hubei Institute for Nationalities, 445000 Enshi, Hubei, China |
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| Abstract: | We have discussed and solved the boundary value problem with period 2aπ and the singular integral equation with kernel csc t-tv/a in solution having singularities of high order, where the smooth contour of integration is in the strip 0<Rez<aπ.
Foundation item: Supported by the National Natural Science Foun dation of China (19971064. 10161009)
Biography: HAN Hui li (1972-), female, Ph. D candidate, research direction: numerical method of singular integral equation.. |
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| Keywords: | boundary value problem singular integral equation the singularities of high order |
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