| 一类具偏差变元的Duffing方程周期解的存在唯一性(英文) |
| |
| 引用本文： | 李晓静,周友明,陈绚青,鲁世平.一类具偏差变元的Duffing方程周期解的存在唯一性(英文)[J].应用数学,2012,25(2):335-340. |
| |
| 作者姓名： | 李晓静 周友明 陈绚青 鲁世平 |
| |
| 作者单位： | 1. 江苏技术师范学院数理学院,江苏常州,213001
2. 安徽师范大学数学系,安徽芜湖,241000 |
| |
| 基金项目： | Supported by the Natural Science Foundation of Jiangsu in China(BK2009105,BK2008119);the Natural Science Foundation of Jiangsu Education Committee,China(09kjd110001,08kjb110011);the Jiangsu Teachers University of Technology Foundation(KYY11086) |
| |
| 摘 要： | 本文允许线性项x′(t)前的系数β(t)可变号的条件下,研究如下一类具偏差变元的Duffing方程:x″(t)+β(t)x′(t)+g(t,x(t-τ(t)))=p(t).获得了周期解的存在唯一性新结果.
|
| 关 键 词： | 周期解 存在唯一性 重合度 偏差变元 |
On the Existence and Uniqueness of Periodic Solution for Duffing Type Differential Equations with a Deviating Argument |
| |
| LI Xiaojing
,
ZHOU Youming
,
CHEN Xuanqing
,
LU Shiping.On the Existence and Uniqueness of Periodic Solution for Duffing Type Differential Equations with a Deviating Argument[J].Mathematica Applicata,2012,25(2):335-340. |
| |
| Authors: | LI Xiaojing ZHOU Youming CHEN Xuanqing LU Shiping |
| |
| Institution: | 1.College of Mathematics and Physics,Jiangsu Teachers University of Technology,Changzhou 213001,China;2.Department of Mathematics,Anhui Normal University,Wuhu 241000,China) |
| |
| Abstract: | In this paper,allowing the coefficient β(t) ahead of linear term x’(t) to change sign,we study a kind of differential equation with a deviating argument as follows:x″(t)+β(t)x’(t)+g(t,x(t-τ(t)))=p(t).Some new results on the existence and uniqueness of periodic solution are obtained. |
| |
| Keywords: | Periodic solution Existence and uniqueness Coincidence degree Deviating argument |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
