On the Poincare-Adronov-Melnikov method for the existence of grazing impact periodic solutions of differential equations

被引：12
|
作者：
Battelli, Flaviano [1 ]
Feckan, Michal [2 ,3 ]
机构：
[1] Marche Polytecn Univ, Dept Ind Engn & Math, Ancona, Italy
[2] Comenius Univ, Dept Math Anal & Numer Math, Mlynska Dolina 842, Bratislava 84248, Slovakia
[3] Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava 81473, Slovakia
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 268卷 / 07期
关键词：
Impact; Grazing; Periodic solutions; Poincare-Adronov-Melnikov function; Persistence; SYSTEMS;
D O I：
10.1016/j.jde.2019.10.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The persistence of periodic, grazing and impact solutions is studied for periodically perturbed ordinary differential equations with impacts. An approach of the Poincare-Adronov-Melnikov method is applied. It is based on introducing and studying an appropriate impact Poincare mapping. Examples are presented to illustrate theoretical results. (C) 2019 Elsevier Inc. All rights reserved.
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页码：3725 / 3748
页数：24
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