| 切触变换下四阶微分方程的几何 |
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| 引用本文： | 陈维桓,李海中. 切触变换下四阶微分方程的几何[J]. 北京大学学报(自然科学版), 1999, 35(3): 285-296 |
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| 作者姓名： | 陈维桓 李海中 |
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| 作者单位： | 北京大学数学学院，北京，100871；清华大学数学科学系，北京，100084 |
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| 基金项目： | 国家自然科学基金;19871001,19701017; |
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| 摘 要： | 用E.Cartan的等价方法，研究切触变换下四阶微分方程y(4)=f(x, y, y', y', y'')的几何。
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| 关 键 词： | 四阶微分方程 切触变换 Cartan的等价方法 |
| 收稿时间： | 1998-03-17 |
The Geometry of the Differential Equations of the Fourth Order Under the Contact Transformations |
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| CHEN Weihuan,LI Haizhong. The Geometry of the Differential Equations of the Fourth Order Under the Contact Transformations[J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 1999, 35(3): 285-296 |
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| Authors: | CHEN Weihuan LI Haizhong |
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| Affiliation: | School of Mathematical Sciences, Peking University, Beijing, 100871; Department of Mathematical Science, Tsinghua University, Beijing, 100084 |
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| Abstract: | It is studied that the geometry of the differential equations of the fourth order y(4) = f(x, y,y′, y″, y′″) under contact transformations by E. Cartan's method of equivalence. |
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| Keywords: | The differential equations of the fourth order contact transformations Cartan's method of equivalence |
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