Conditions to the existence of center for Abel equations

被引：0
|
作者：
Alves, A. M. [1 ]
de Araujo, A. L. A. [1 ]
Lemos, A. [1 ]
机构：
[1] Univ Fed Vicosa, Dept Matemat, Vicosa, Brazil
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2023年 / 187卷
关键词：
Periodic solution; Abel equation; Centers; NUMBER;
D O I：
10.1016/j.bulsci.2023.103302
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider the generalized Abel equation x'(t) = f(t)x(m)(t) + g(t)x(n)(t), with m > n >= 2, a > 0is a constant and fand gare continuous functions. Observe that when n = 2and m = 3we have an Abel differential equation. We obtain conditions on fand gcoefficients of Abel equation that ensure the existence of a center in x = 0. (c) 2023 Elsevier Masson SAS. All rights reserved.
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