| 高阶非线性微分方程的周期解 |
| |
| 引用本文： | 陈新一.高阶非线性微分方程的周期解[J].山东大学学报(理学版),2009,44(10):43-47. |
| |
| 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： | 利用重合度理论研究一类高阶时滞微分方程x(n)(t)+h(x´(t))+f(x(t))x´(t)+g(x(t-τ(t)))=p(t)周期解问题,得到T(T>0)周期解存在性的新结果,推广了已有的结果。
|
| 关 键 词： | 高阶微分方程 周期解 重合度 |
| 收稿时间： | 2009-03-08 |
Periodic solution of the higher order nonlinear differential equation |
| |
| CHEN Xin-Yi.Periodic solution of the higher order nonlinear differential equation[J].Journal of Shandong University,2009,44(10):43-47. |
| |
| Authors: | CHEN Xin-Yi |
| |
| Institution: | China Minorities Information Technology Institute, Northwest University for Nationalities, Lanzhou 730030, Gansu, China |
| |
| Abstract: | By employing the coincidence degree, a kind of higher order differential equations with delay and the equation x(n)(t)+h(x´(t))+f(x(t))x´(t)+g(x(t-τ(t)))=p(t) are studied. Some new results on the existence of T(T>0) periodic solutions are obtained, which generalizes the known results. |
| |
| Keywords: | higher order differential equation periodic solution coincidence degree |
|
| 点击此处可从《山东大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《山东大学学报(理学版)》下载免费的PDF全文 |
