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
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摘要: 研究舶波型方程ｘ＋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。Abstract: 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.
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