| 含时滞的反映扩散方程的周期解和概周期解 |
| |
| 引用本文： | 何猛省.含时滞的反映扩散方程的周期解和概周期解[J].华中科技大学学报(自然科学版),1989(2). |
| |
| 作者姓名： | 何猛省 |
| |
| 作者单位： | 武汉大学 |
| |
| 摘 要： | 本文将单调方法用于一类含时滞的反映扩散方程,证明了周期解和概周期解的存在性与唯一性。
|
| 关 键 词： | 反映扩散方程 上解 下解 周期解 概周期解 |
Reaction-Diffusion System with Time Lag -Monotone method and existence of periodic solution and almost periodic solution |
| |
| He Mengxing.Reaction-Diffusion System with Time Lag -Monotone method and existence of periodic solution and almost periodic solution[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1989(2). |
| |
| Authors: | He Mengxing |
| |
| Institution: | He Mengxing |
| |
| Abstract: | The existence and uniqueness of periodic solution and almost periodic solution for a class of reaction-diffusion system with time lag are proved. This is no doubt a generalization of some corresponding results in functional differential equation. The existence is obtained under general conditions and the uniqueness is proved if the ratio between the Lipschitz constant K of nonlinear delay term and the interval of variation of variable x is relatively small. The modified monotone method and Schander fixed point theorem are used. It is considered to be more convenient and flexible in application than the conventional one. |
| |
| Keywords: | Reaction-diffusion equation Upper solution Lower solution Periodic solution Almost periodic solution |
| 本文献已被 CNKI 等数据库收录！ |
