一类非线性常微分方程的周期解

Perodic Solutions of Class of Nonlinear Ordinary Differential Equations

证明了常微分方程（ａ（ｔ，ｘ，ｘ′）ｘ′）′＝ｆ（ｔ，ｘ）的２π周期解及其两点边值问题解的存在性。

In this paper,for the oscillating case of the equation(a(t,x,x′)x′)′=f(t,x),we prove the existence of 2π-periodic solutions and solutions of two point boundary value problems.