具时滞的广义Lienard方程解的振荡性

THE OSCILLATION OF SOLUTION FOR THE RETARDED AND GEMERALIZED SYSTEM

讨论一类具有时滞的广义Lienard系统 dxdt =Φ(y-F(x) ) ,dydt =- g(x(t-τ) ) ,并且获得了一组简洁的充要条件 ,以保证给定系统的所有解均为振荡的 。

The retarded and generalized Lienard system dx/dt=Φ(y-F(x)),dy/dt=-g(x(t-τ)) was discussed ,and some simple sufficient and necessary conditions were obtained to guarantee the oscillation of solution for the given system, so that, we generalized the existed results in paper.