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具有高阶奇性解的Hilbert核奇异积分方程(英文)

Singular Integral Equation with Hilbert Kernel in Solution having Singularities of High Order

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【Author】 Dai Jin-jun1,Han Hui-li2(1.School of Mathematics and Statistics,Central China Normal University,Wuhan 430072,China;2.School of Mathematics and Computer Science,Ningxia University,Yinchuan 750021,China)

【机构】华中师范大学数学与统计学院；宁夏大学数学计算机学院湖北武汉430072；宁夏银川750021；

【摘要】首先讨论了具有高阶奇性解的周期Riemann边值问题,然后通过解周期Riemann边值问题研究了具有高阶奇性解的带Hilbert核的奇异积分方程,将已有的具一阶奇性解的带Hilbert核的奇异积分方程进行了推广.更多还原

【Abstract】 The periodic Riemann boundary value problem with high order singularity solutionis discussed firstly.The singular integral equation(SIE) with Hilbert kernel which has high order singularity solution is studied by solving the corresponding periodic Riemann boundary value problem,and then the problemof SIE with Hilbert kernel has one order singularity solutionis generalized.更多还原

【关键词】奇异积分方程； Hilbert核；高阶奇性解；
【Key words】 singular integral equation； Hilbert kernel； solution with singularity of high order；

【基金】 the National Science Foundation of China(10461008,10661009);the Key ResearchProject of Science and Technology of MOE(207124);the Scientific Research Foundation of Ningxia Higher School;the Natural Science Foundation of Ningxia University(LG0407,LG0409)

【文献出处】宁夏大学学报(自然科学版) ,Journal of Ningxia University(Natural Science Edition) , 编辑部邮箱 ,2007年01期

【分类号】O175.5
【下载频次】70

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