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

页码：4103 / 4116

页数：14

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