一个非线性常微分方程周期解的存在定理

An Sxistence Theorem for Periodic Solutions of Nonliear Ordinary Differential Equations

该文通过应用Miranda定理,证明了在R^n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x=f(x,t)在此区域内存在周期解的定理。

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