| 具有高次积分的二阶三阶常微分方程的结构定理 |
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| 引用本文： | 银山,通拉嘎. 具有高次积分的二阶三阶常微分方程的结构定理[J]. 内蒙古工业大学学报, 2007, 26(1): 1-4 |
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| 作者姓名： | 银山 通拉嘎 |
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| 作者单位： | 内蒙古工业大学理学院 呼和浩特010051 |
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| 基金项目： | 国家自然科学基金 , 内蒙古"111工程"基金 , 内蒙古教育厅科研基金 |
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| 摘 要： | 本文利用确定高次积分因子的引理与确定对应的高次积分的公式以及微分特征列集(吴)方法,给出了拥有高次积分的二阶三阶常微分方程结构定理.
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| 关 键 词： | 微分方程 高次积分因子 高次积分 |
| 文章编号： | 1001-5167(2007)01-0001-04 |
| 修稿时间： | 2005-12-27 |
CONSTRUCTION THEOREMS OF SECOND AND THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS WHICH ADMIT HIGHER ORDER INTEGRALS |
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| YIN Shan,Tonglaga. CONSTRUCTION THEOREMS OF SECOND AND THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS WHICH ADMIT HIGHER ORDER INTEGRALS[J]. Journal of Inner Mongolia Polytechnic University(Social Sciences Edition), 2007, 26(1): 1-4 |
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| Authors: | YIN Shan Tonglaga |
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| Affiliation: | School of Basic Sciences, Inner Mongolia University of Technology, Hohhot 010051, China |
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| Abstract: | Construction theorems of second and third order ordinary differential equations which admit higher order integrals are formulated by use of the method of determining higher order integral factors and higher order integrals for ordinary differential equations,and by use of the characteristic set method as well. |
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| Keywords: | differential equation higher order integral factors higher order integrals |
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