非线性振动方程周期解的不存在性

On the Nonexistence of Periodic Solutions for Nonlinear Oscillating Equation

作者在该文中利用Ｐｏｉｎｃａｒｅ切性曲线法，对非线性振动方程ｘ＋ｆ（ｘ，ｘ）φ（ｘ）ｘ＋ｇ（ｘ）ｈ（ｘ）＝０，给出了周期解不存在的两类充分条件，从而得到了比参考文献１、２更广泛的结果。

In this paper, by the tangent curve method of Poincare, some sufficient conditions are given that judge the nonexistence of periodic solutions for the nonlinear oscillating equation +f(x,)φ()+g(x)h()=0. Our results extend those conclusions inliteratures 1 and 2 .