周期外力作用下舶波型方程的强迫振荡

On the Forced Vibration of Popp Equations Under the Periodic External Force

研究舶波型方程＋ｇｒａｄＦ（ｘ）＋ｇ（ｔ，ｘ）＝Ｐ（ｔ）的强迫周期振荡，得到其存在周期解的若干充分条件．特别是当ｇ（ｔ，ｘ）＝Ｂｘ时，在适当条件下证明了存在平稳振荡．

The forced periodic vibration of Popp equation x+grad F(x) +g(t, x) =p(t)is consideral. The sufficient conditions on the existence of periodic solutions are obtained.Especially, when g(t, x)=Bx, it is proved that the periodic solution is stable under some other conditions.