A note on Liouvillian first integrals and invariant algebraic curves

被引：6

作者：

Gine, Jaume ^{[1
]}

Grau, Maite ^{[1
]}

Llibre, Jaume ^{[2
]}

机构：

[1] Univ Lleida, Dept Matemat, Lleida 25001, Catalonia, Spain

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

来源：

APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 02期

关键词：

Liouvillian integrability; Invariant algebraic curve; Integrating factor; First integral; DIFFERENTIAL-EQUATIONS; VECTOR-FIELDS; INTEGRABILITY; SYSTEMS;

D O I：

10.1016/j.aml.2012.09.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we study the existence and non-existence of finite invariant algebraic curves for a complex planar polynomial differential system having a Liouvillian first integral. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：285 / 289

页数：5

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