ANALYTIC INTEGRABILITY AROUND A NILPOTENT SINGULARITY: THE NON-GENERIC CASE

被引：5
作者：
Algaba, Antonio [1 ]
Diaz, Maria [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, Avda Jaume 2,69, Lleida 25001, Catalonia, Spain
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2020年 / 19卷 / 01期
关键词：
Analytic integrability; nilpotent singularity; center problem; orbitally equivalence; 1ST INTEGRALS; SYSTEMS; REDUCTION; EXISTENCE; CENTERS;
D O I：
10.3934/cpaa.2020021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, in [9] is characterized the analytic integrability problem around a nilpotent singularity for differential systems in the plane under generic conditions. In this work we solve the remaining case completing the analytic integrability problem for such singularity.
引用
收藏
页码：407 / 423
页数：17
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