DIFFERENTIAL EQUATIONS AND A-APPROXIMATIONS

被引：1
|
作者：
Sebag, Julien [1 ]
机构：
[1] Univ Bordeaux 1, Inst Math Bordeaux, Lab A2X, F-33405 Talence, France
来源：
COMMUNICATIONS IN ALGEBRA | 2009年 / 37卷 / 11期
关键词：
Differential algebra; LINEARIZATION; THEOREM;
D O I：
10.1080/00927870902828850
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we introduce the notion of A-approximations associated with a polynomial differential equation F = 0 of order n >= 1 and degree d >= 2, defined over a differential field of characteristic zero. We also give applications of this construction to the irreducible decomposition of perfect differential ideals, generated by a single element.
引用
收藏
页码：4103 / 4116
页数：14
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