INFINITELY MANY PERIODIC SOLUTIONS OF DUFFING EQUATIONS UNDER INTEGRAL CONDITION

被引：0

作者：

Zheng, Nannan ^{[1
]}

Wang, Zaihong ^{[1
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2021年 / 57卷 / 01期

关键词：

Duffing equation; periodic solution; Poincare-Birkhoff fixed point theorem; MULTIPLICITY; THEOREM;

D O I：

10.12775/TMNA.2020.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the multiplicity of periodic solutions of a Duffing equation x '' + g(x) = p(t). By using the generalized Poincare Birkhoff fixed point theroem, we prove that this equation has infinitely many periodic solutions provided g satisfies a kind of integral condition and the related time map satisfies oscillating condition.

引用

页码：297 / 315

页数：19