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

被引：0
作者：
Hujun Yang
Xiaoling Han
机构：
[1] Northwest Normal University,Department of Mathematics
来源：
Mediterranean Journal of Mathematics | 2023年 / 20卷
关键词：
Higher order differential equation; periodic solution; averaging method; Mawhin’s continuation theorem; 34C25; 34C29; 47H11;
D O I：
暂无
中图分类号：
学科分类号：
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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