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.

引用

页码：3725 / 3748

页数：24

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