Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor

被引：7
作者：
Algaba, Antonio [1 ]
Garcia, Cristobal [1 ]
Gine, Jaume [2 ]
机构：
[1] Univ Huelva, Fac Ciencias, Dept Matemat, Huelva, Spain
[2] Univ Lleida, Inspires Res Ctr, Dept Matemat, Av Jaume II,69, Lleida 25001, Catalonia, Spain
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2019年 / 71卷
关键词：
Analytic integrability; Nilpotent singular points; Inverse integrating factor;
D O I：
10.1016/j.cnsns.2018.09.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work is characterized the analytic integrability problem around a nilpotent singularity for differential systems in the plane under generic conditions. The analytic integrability problem is characterized via the existence of a formal inverse integrating factor. The relation between the analytic integrability and the existence of an algebraic inverse integrating factor is also given. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：130 / 140
页数：11
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