On the number of linear particular integrals of algebraic differential equations

被引：0

作者：

Dolov, M. V. ^{[1
]}

Kruglov, E. V. ^{[1
]}

机构：

[1] Nizhnii Novgorod State Univ, Nizhnii Novgorod, Russia

来源：

DIFFERENTIAL EQUATIONS | 2015年 / 51卷 / 04期

关键词：

Differential Equation; Vector Field; Functional Equation; Short Communication; Global Problem;

D O I：

10.1134/S0012266115040138

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a sharp bound for the number of distinct linear particular integrals of a polynomial vector field with coprime components the maximum of whose degrees is not less than 2.

引用

页码：563 / 565

页数：3

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