本文已被：浏览 1099次 下载 500次
Received:November 11, 2004
Received:November 11, 2004
中文摘要: 讨论了二阶Duffing型微分方程的2π周期解的存在性问题.利用Leray-Schauder不动点定理,在允许非线性项g(u)超线性增长的条件下,得到了二阶Duffing型微分方程周期为2π的周期解存在定理.
中文关键词: Duffing微分方程 超线性增长 周期解 Leray-Schauder不动点定理
Abstract:This paper deals with the existence of 2π periodic solutin to second order Duffing differential equation. Using Leray-Schauder's fixed point theorem, it is proved that there exists a 2π-periodic solution to Duffing differential equation with superlinear growth condition.
keywords: Duffing differential equation superlinear growth condition periodic solution leray-schauder's fixed point theorem
文章编号：20040408 中图分类号： 文献标志码：
基金项目:
| Author Name | Affiliation |
| LI Ze-rong | Fujian Electric Vocational and Technical College, Quanzhou 362000, China |
| Author Name | Affiliation |
| LI Ze-rong | Fujian Electric Vocational and Technical College, Quanzhou 362000, China |
Reference text: