| 一类二阶微分方程周期解的存在性 |
| |
| 引用本文： | 陈新一.一类二阶微分方程周期解的存在性[J].数学的实践与认识,2007,37(16):203-205. |
| |
| 作者姓名： | 陈新一 |
| |
| 作者单位： | 西北民族大学,中国民族信息技术研究院,甘肃,兰州,730030 |
| |
| 摘 要： | 研究二阶非线性滞后型微分方程x。(t)+Px(。t)]+Qx(。t)]Rx(t-r)]=f(t)通过Lyaponov方法给出了ω-周期解的存在性定理和时滞范围的简明表达式,推广了一些原有结果.
|
| 关 键 词： | 滞后型微分方程 周期解 存在性 |
| 修稿时间： | 2007年1月21日 |
The Existence of Periodic Solutions for a Class of Second order Differential Equations |
| |
| CHEN Xin-yi.The Existence of Periodic Solutions for a Class of Second order Differential Equations[J].Mathematics in Practice and Theory,2007,37(16):203-205. |
| |
| Authors: | CHEN Xin-yi |
| |
| Abstract: | The second order nonlinear retarded differential equation x¨(t)+P+QRx(t-τ)]=f(t)is considered.A theorem on existence of ω-periodic solutions is given by means of the Lyapunov′s method.A brief expression about the bound of time-delay is obtained.This obtained result generalizes some known results. |
| |
| Keywords: | retarded differential equation periodic solution existence |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
