Applications of the Poincare-Birkhoff theorem to impulsive Duffing equations at resonance

被引：16

作者：

Jiang, Fangfang ^{[1
]}

Shen, Jianhua ^{[1
]}

Zeng, Yanting ^{[1
]}

机构：

[1] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 03期

关键词：

Impulsive Duffing equation; Periodic solution; Poincare-Birkhoff theorem; PERIODIC-SOLUTIONS; ASYMMETRIC NONLINEARITIES; EXISTENCE; SYSTEMS; MODEL;

D O I：

10.1016/j.nonrwa.2011.10.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Many dynamical systems possess an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process. The mathematical description of these phenomena leads to impulsive differential equations. In this paper, we present a new approach via the well-known Poincare-Birkhoff theorem to obtain the existence of periodic solutions to impulsive problems. We consider an impulsive Duffing equation, and find the possibility of applying a generalized form of the Poincare-Birkhoff theorem due to Ding to construct infinitely many periodic solutions of the impulsive Duffing equation even in a resonance case. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1292 / 1305

页数：14

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