| Pfaff约束可积的Euler形式的充分条件 |
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| 引用本文： | 贾利群,郑世旺,张耀宇.Pfaff约束可积的Euler形式的充分条件[J].北京理工大学学报,2006(5):562-564. |
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| 作者姓名： | 贾利群 郑世旺 张耀宇 |
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| 作者单位： | 江南大学理学院,江苏无锡214122;商丘师范学院物理与信息工程系,河南商丘476000;平顶山学院电气信息工程学院,河南平顶山467002 |
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| 基金项目： | 国家自然科学基金资助项目(10572021,10372053);;江南大学211工程科研项目资助课题(0002246) |
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| 摘 要： | 研究Pfaff约束可积性问题.利用Pfaff约束可积的充分条件,给出Pfaff约束可积的Euler形式的充分条件———命题1.指出命题1的逆命题一般并不成立———命题2.举例说明命题1和命题2的应用.
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| 关 键 词： | Pfaff约束 可积 Euler形式 充分条件 |
| 收稿时间： | 6/9/2005 12:00:00 AM |
On the Sufficient Condition of Pfaff Constraint Integrable Euler Form |
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| JIA Li-qun,ZHENG Shi-wang and ZHANG Yao-yu.On the Sufficient Condition of Pfaff Constraint Integrable Euler Form[J].Journal of Beijing Institute of Technology(Natural Science Edition),2006(5):562-564. |
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| Authors: | JIA Li-qun ZHENG Shi-wang and ZHANG Yao-yu |
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| Institution: | College of Science,Southern Yangtze University,Wuxi,Jiangsu 214122,China;Department of Physics and Information Engineering,Shangqiu Teachers College,Shangqiu,Henan 476000,China;Electric and Information Engineering College,Pingdingshan University,Pingdingshan,Henan 467002,China |
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| Abstract: | Studies an integrable question of Pfaff constraint,utilizing the integrable sufficient condition of Pfaff constraint,giving an integrable sufficient conditions of the Euler form as Pfaff constraint-proposition 1,and points out that the inverse-proposition of proposition 1 in general does not hold as proposition 2.Examples are given to explain the applications of proposition 1 and proposition 2. |
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| Keywords: | Pfaff constraint integrable Euler form sufficient condition |
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