| Banach空间非线性常微分方程的正周期解 |
| |
| 引用本文： | 刘旭,靳伍银,剡昌锋. Banach空间非线性常微分方程的正周期解[J]. 兰州理工大学学报, 2007, 33(4): 135-137 |
| |
| 作者姓名： | 刘旭 靳伍银 剡昌锋 |
| |
| 作者单位： | 兰州交通大学,数理与软件工程学院,甘肃,兰州,730070;兰州理工大学,机电工程学院,甘肃,兰州,730050 |
| |
| 摘 要： | 在一定的序条件及非紧性测度条件下,通过非紧性测度的精细计算,运用凝聚映射的不动点指数理论获得有序Banach空间二阶常微分方程的正周期解的存在性.
|
| 关 键 词： | 周期边值问题 非紧性测度 凝聚映射 不动点指数 |
| 文章编号： | 1673-5196（2007）04-0135-03 |
| 修稿时间： | 2006-07-13 |
Positive periodic solution of nonlinear ordinary differential equation in Banach spaces |
| |
| LIU Xu,JIN Wu-yin,YAN Chang-feng. Positive periodic solution of nonlinear ordinary differential equation in Banach spaces[J]. Journal of Lanzhou University of Technology, 2007, 33(4): 135-137 |
| |
| Authors: | LIU Xu JIN Wu-yin YAN Chang-feng |
| |
| Affiliation: | 1. School of Mathematics, Physics and Software Engineering, no-Electronic Engineering, Lanzhou Univ. of Tech. , Lanzhou Lanzhou Jiaotong University, Lanzhou 730070, China; 2. College of Mechano-Electronic Engineering, Lanzhou Univ. of Tech. , Lanzhou 730050, China |
| |
| Abstract: | Under the ordered conditions and noncompactness measure conditions,the existence of positive periodic solution for second-order ordinary differential equation in Banach space was proved by accurately calculating the measure of noncompactness and employing fixed-point index theorems of condensing map. |
| |
| Keywords: | periodic boundary value problem measure of noncompactness condensing map fixed point index |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
