| 微分多项式系统的近微分特征列集 |
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| 引用本文： | 特木尔朝鲁,高小山.微分多项式系统的近微分特征列集[J].数学学报,2002,45(6):1041-105. |
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| 作者姓名： | 特木尔朝鲁 高小山 |
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| 作者单位： | 1. 内蒙古工业大学,内蒙古,呼和浩特,010051
2. 中国科学院数学与系统科学研究院,北京,100080 |
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| 基金项目： | 973项目，国家自然科学基金（19861003），内蒙古自治区自然科学基金资助项目 |
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| 摘 要： | 本文对微分多项式系统的近微分特征列集与微分特征列集之间的一些关系进行了研究,给出了在某些条件下近微分特征列集是微分特征列集的结论,从而对微分多项式系统特征列集理论（吴方法）进行了改进,并且建立的算法较大地提高了计算微分特征列集的效率.
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| 关 键 词： | 吴方法 微分多项式系统 （近）微分特征列集 |
| 文章编号： | 0583-1431(2002)06-1041-10 |
| 修稿时间： | 2000年11月17 |
Nearly Differential Characteristic Set for Differential Polynomial System |
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| Temuer CHAOLU.Nearly Differential Characteristic Set for Differential Polynomial System[J].Acta Mathematica Sinica,2002,45(6):1041-105. |
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| Authors: | Temuer CHAOLU |
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| Institution: | Temuer CHAOLU (Inner Mongolia Polytechnic University, Huhhot 010062, P. R. China)Xiao Shan GAO(Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China) |
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| Abstract: | Abstract The relationship between nearly differential characteristic set and differential characterstic set of differential polynomial systems is investigated and the result that under some conditions the nearly differential characteristic set of differential polyno-mial system can be Wu's differential characteristic set is proved. So the characteristic set theory (Wu's method) of differential polynomial system is modified and the algo-rithm thus established greatly increases the efficiency of computation of differential characteristic set. |
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| Keywords: | Wu's method Differential polynomial system (Nearly) differential charac-teristic set |
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