| 局部可积向量场的整体可积性定理 |
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| 引用本文： | 吕登峰,肖建海.局部可积向量场的整体可积性定理[J].孝感学院学报,2005,25(3):47-50. |
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| 作者姓名： | 吕登峰 肖建海 |
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| 作者单位： | 孝感学院,数学系,湖北,孝感,432000 |
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| 摘 要： | 给出了平面向量场的局部可积性条件，通过定义旋转数得到了整体可积性定理。并利用直角形闭路径给出了其证明。
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| 关 键 词： | 向量场 位势函数 局部可积 直角形闭路径 旋转数 |
| 文章编号： | 1671-2544(2005)03-0047-04 |
Whole lntegrability Theorem of Locally Integrable Vector Field |
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| LU Deng-feng,XIAO Jian-hai.Whole lntegrability Theorem of Locally Integrable Vector Field[J].JOURNAL OF XIAOGAN UNIVERSITY,2005,25(3):47-50. |
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| Authors: | LU Deng-feng XIAO Jian-hai |
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| Abstract: | In this paper, locally integrability condition of plane vector field is given at first, then the main theorem of whole integrability theorem is obtained by defining the rotation number, and is proved using the rectangular closed path. |
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| Keywords: | vector field potential function locally integrable rectangular closed path ratation number |
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