数学物理学报 ›› 1998, Vol. 18 ›› Issue (4): 415-418.

• 论文 • 上一篇    下一篇

一个非线性常微分方程周期解的存在定理

杨小京   

  1. 清华大学应用数学系 北京 100084
  • 收稿日期:1997-03-10 出版日期:1998-12-26 发布日期:1998-12-26

An Sxistence Theorem for Periodic Solutions of Nonliear Ordinary Differential Equations

Yang Xiaojing   

  1. Department of Applied Mathematics, Tsinghua University, Beijing 100084
  • Received:1997-03-10 Online:1998-12-26 Published:1998-12-26

摘要: 该文通过应用Miranda定理,证明了在Rn空间某有界区域的边界上一些不等式成立时,非线性微分方程=f(x,t)在此区域内存在周期解的定理.

关键词: 非线性, 周期解, Miranda定理

Abstract: In this paper,by using Mkanda's theorem,an existence theorem for periodic solutions of nonlinear ordinary differential equations =f(x,t) is proved.

Key words: Nonliear differential equation, Periodic solution, Miranda theorem