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.
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.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2002年第6期1041-1051,共11页
Acta Mathematica Sinica：Chinese Series
基金
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
关键词
吴方法
微分多项式系统
近微分特征列集
Wu's method
Differential polynomial system
(Nearly) differential charac-teristic set
