Centers of planar generalized Abel equations

被引：3

作者：

Llibre, Jaume ^{[1
]}

Valls, Claudia ^{[2
]}

机构：

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

[2] Univ Lisbon, Inst Super Tecn, Dept Matemat, Av Rovisco Pais 1049-001, Lisbon, Portugal

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 268卷 / 10期

基金：

欧盟地平线“2020”;

关键词：

Centers; Generalized Abel equations;

D O I：

10.1016/j.jde.2019.11.0460022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deal with the differential equation r over dot = dr/dB = a(theta)r(n) + b(theta)r(m), where (r, 0) are the polar coordinates in the plane R-2, m and n are integers such that m > n >= 2, and a, b are C-1 functions. Note that when n = 2 and m = 3 we have an Abel differential equation. For this class of generalized Abel equations we characterize a new family of centers. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：6481 / 6487

页数：7

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