On the Structure of the Equivalent Differential Systems and their Reflecting Integrals

被引：7

作者：

Zhou, Zhengxin ^{[1
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, Yangzhou, Jiangsu, Peoples R China

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2017年 / 48卷 / 03期

关键词：

Equivalence; Reflecting integral; Integrating factor; The first integral; SYMMETRY;

D O I：

10.1007/s00574-016-0026-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, I have completely solved this problem: when one differential system is equivalent to a given differential system, what structure does this system and its reflecting integral have? At the same time, I have established the relationship between the reflecting integrals and the first integrals and integrating factors of the differential equations.

引用

页码：439 / 447

页数：9

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