Existence and Uniqueness of Periodic Solutions for a Class of Higher Order Differential Equations

被引：2
作者：
Yang, Hujun [1 ]
Han, Xiaoling [1 ]
机构：
[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 05期
基金：
美国国家科学基金会;
关键词：
Higher order differential equation; periodic solution; averaging method; Mawhin's continuation theorem;
D O I：
10.1007/s00009-023-02477-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence, non-existence and uniqueness of periodic solutions for a class of higher order differential equations. The proof is based on the Mawhin's continuation theorem and averaging method. Finally, two examples are given to illustrate the applicability of the conclusions of this paper.
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页数：17
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