Existence of periodic solutions of (2n+1)th-order ordinary differential equations

被引：12
作者：
Cong, FZ [1 ]
机构：
[1] Changchun Flight Acad Air Force, Off Math, Changchun 130022, Peoples R China
[2] China Coal Econ Coll, Dept Math, Yantai 264005, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 06期
基金：
中国国家自然科学基金;
关键词：
odd order differential equation; existence; periodic solution;
D O I：
10.1016/S0893-9659(04)90112-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This note concerns a periodic solution of a class of odd order nonlinear ordinary differential equations. An existence theorem of periodic solutions is obtained. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：727 / 732
页数：6
相关论文
共 50 条
[21]   ON THE EXISTENCE OF PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS OF THE THIRD ORDER [J].
Tunc, Cemil .
APPLIED AND COMPUTATIONAL MATHEMATICS, 2016, 15 (02) :189-199
[22]   Existence of periodic solutions for fully nonlinear first-order differential equations [J].
Li, DS ;
Liang, YT .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (04) :1095-1109
[23]   Positive periodic solutions of systems of second order ordinary differential equations [J].
O'Regan, Donal ;
Wang, Haiyan .
POSITIVITY, 2006, 10 (02) :285-298
[24]   Positive Periodic Solutions of Systems of First Order Ordinary Differential Equations [J].
O’Regan D. ;
Wang H. .
Results in Mathematics, 2005, 48 (3-4) :310-325
[25]   Positive Periodic Solutions of Systems of Second Order Ordinary Differential Equations [J].
Donal O'Regan ;
Haiyan Wang .
Positivity, 2006, 10 :285-298
[26]   On a Priori Estimation of Periodic Solutions to a System of Nonlinear Ordinary Differential Equations of the Second Order [J].
Mukhamadiev, E. ;
Naimov, A. N. .
RUSSIAN MATHEMATICS, 2024, 68 (08) :38-46
[27]   Periodic Solutions with Prescribed Minimal Period for 2n th-Order Nonlinear Discrete Systems [J].
Shi, Haiping ;
Luo, Peifang ;
Huang, Zan .
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2021, 2021
[28]   PERIODIC SOLUTIONS FOR n-TH ORDER DELAY DIFFERENTIAL EQUATIONS WITH DAMPING TERMS [J].
Pan, Lijun .
ARCHIVUM MATHEMATICUM, 2011, 47 (04) :263-278
[29]   Existence and Uniqueness of Periodic Solutions for a Class of Higher Order Differential Equations [J].
Hujun Yang ;
Xiaoling Han .
Mediterranean Journal of Mathematics, 2023, 20
[30]   EXISTENCE OF PERIODIC SOLUTIONS FOR SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS [J].
Li, Yongjin .
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
12345