| 二次概周期系数微分方程的概周期解 |
| |
| 引用本文： | 孟艳双,孙光辉,杨振起.二次概周期系数微分方程的概周期解[J].大学数学,2006,22(2):66-70. |
| |
| 作者姓名： | 孟艳双 孙光辉 杨振起 |
| |
| 作者单位： | 山东交通学院数理系,济南250023 |
| |
| 摘 要： | 利用指数二分性,Schauder不动点定理和Grownwall不等式证明了一类概周期系数微分方程的概周期解、有界解的存在唯一性及概周期解的全局吸引性.
|
| 关 键 词： | 指数二分性 Schauder不动点定理 Grownwall不等式 概周期解 |
| 文章编号： | 1672-1454（2006）02-0066-05 |
| 收稿时间： | 2005-01-18 |
| 修稿时间： | 2005年1月18日 |
The Almost Periodic Solution to Quadratic Differential Equations with Almost Periodic Coefficients |
| |
| MENG Yan-shuang,SUN Guang-hui,YANG Zhen-qi.The Almost Periodic Solution to Quadratic Differential Equations with Almost Periodic Coefficients[J].College Mathematics,2006,22(2):66-70. |
| |
| Authors: | MENG Yan-shuang SUN Guang-hui YANG Zhen-qi |
| |
| Abstract: | We investigate a kind of quadratic differential equations with almost periodic coefficients.By means of exponential dichotomy,the Schauder fixed point theorem,the Grownwall inequality,we obtain the sufficient conditions for the existence of its unique almost periodic solution and its limited solution,and the solution has global attractiveness. |
| |
| Keywords: | exponential dichotomy the Schauder fixed point theorem almost periodic solutions the Grownwall inequality almost periodic solution global attractiveness |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
