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| 闭光滑流形上一类带拓广的B-M核的高阶奇异积分方程 | |
| 引用本文： | 刘小妹,刘娟,于俊杰.闭光滑流形上一类带拓广的B-M核的高阶奇异积分方程[J].江西科学,2010,28(5):604-606,625. |
| 作者姓名： | 刘小妹 刘娟 于俊杰 |
| 作者单位： | 1. 九江学院理学院数学系,江西,九江,332005 2. 井冈山大学附属中学,江西,吉安,343000 3. 九江学院,江西,九江,332005 |
| 摘 要： | 根据文献1]在Cn中闭光滑可定向流形上定义的一个带有拓广的B-M核的高阶Cauchy型积分φ(z)以及φ(z)在Hadamard主值2]意义下的Plemelj公式2],在Hadamard主值意义下给出高阶奇异积分φ(t)的有限部分的合成公式;然后通过合成公式讨论了相应的一类高阶奇异积分方程。 |
| 关 键 词： | 拓广的B-M核 高阶奇异积分 Hadamard主值 Plemelj公式 合成公式 奇异积分方程 |
One Higher Order Singular Integral Equations with Extensional B-M Kernel on Smooth Closed Orientable Manifolds |
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| LIU Xiao-mei,LIU Juan,YU Jun-jie.One Higher Order Singular Integral Equations with Extensional B-M Kernel on Smooth Closed Orientable Manifolds[J].Jiangxi Science,2010,28(5):604-606,625. | |
| Authors: | LIU Xiao-mei LIU Juan YU Jun-jie |
| Institution: | 1.Department of Mathematics,Jiujiang University,Jiangxi Jiujiang 332005 PRC;2.High School Attached to Jinggangshan University,Jiangxi Ji′an 343000 RPC;3.Jiujiang University,Jiangxi Jiujiang 332005 PRC) |
| Abstract: | According to the article1] where the authors defined one higher order integral of Cauchy-type with extensional Bochner-Martinelli kernelφ（z） on smooth closed orientable manifolds in Cn and the plemelj formula of φ（z） under the definition of Hadamard principal value.The author will give the composite formula of the finite part of the higher order singular integral φ（t） under the definition of Hadamard principal value in this article.At last,the authors will discuss one higher order singular integral equations by using the composite formula. |
| Keywords: | Extensional bochner-martinelli kernel Higher order singular integral Hadamard principal value Plemelj formula Composite formula Singular integral equations |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |