一类二阶非线性系统的周期解

Periodic Solutions of A Class of Two-order Nonlinear Differential Equation

研究了一类二阶非线性方程x″+f(x)φ(x′)+g(x)=0,利用Poincare-Bendixson定理得到了此方程的一个周期解存在性定理.

A class of two-order nonlinear differential equationx″＋f（x）φ（x′）＋g（x）=0 is studied an existence theorem of periodic solution of the equation is obtained by using Poincare-Bendixson theorem.