一类非自治三阶常微分方程周期解的存在性

Existence of periodic solutions for a class of nonautonomous third-order ordinary differential equations

作者：杨虎军(西北师范大学数学与统计学院)；韩晓玲(西北师范大学数学与统计学院)；罗强(西北师范大学数学与统计学院)

Author：Yang Hu-Jun(College of Mathematics and Statistics, Northwest Normal University)；Han Xiao-Ling(College of Mathematics and Statistics, Northwest Normal University)；Luo Qiang(College of Mathematics and Statistics, Northwest Normal University)

收稿日期：2019-03-26 年卷（期）页码：2020,57(3):450-454

期刊名称：四川大学学报: 自然科学版

Journal Name：Journal of Sichuan University (Natural Science Edition)

关键字：三阶常微分方程; 周期解; 重合度

Key words：Third order ordinary differential equation; Periodic solution; Coincidence degree theory

基金项目：国家自然科学基金(11561063)

中文摘要

本文研究了一类非自治三阶常微分方程正周期解的存在性,其中$a(t),b(t),c(t)$是连续的$T-$周期函数.运用Mawhin延拓定理,本文证明了方程至少存在两个正的$T-$周期解.

英文摘要

In this paper, we study the existence of positive periodic solutions of a class of nonautonomous third-order ordinary differential equations where $a(t),b(t),c(t)$ are continuous T-periodic functions. By using the Mawhin's continuation theorem, we prove the existence of at least two positive T-periodic solutions for this equation.

下一条：一类带有变号权函数的二阶差分方程Dirichlet边值问题正解的存在性

【关闭】

论文摘要

一类非自治三阶常微分方程周期解的存在性

Existence of periodic solutions for a class of nonautonomous third-order ordinary differential equations