| 周期外力作用下舶波型方程的强迫振荡 |
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| 引用本文： | 董勤喜,黄先开.周期外力作用下舶波型方程的强迫振荡[J].北京理工大学学报,1995,15(4):404-408. |
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| 作者姓名： | 董勤喜 黄先开 |
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| 作者单位： | 北京理工大学应用力学系，北京商学院数学教研室 |
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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。
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| 关 键 词： | 强迫振动 周期解 舶波型方程 外力作用 |
On the Forced Vibration of Popp Equations Under the Periodic External Force |
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| Dong Qinxi.On the Forced Vibration of Popp Equations Under the Periodic External Force[J].Journal of Beijing Institute of Technology(Natural Science Edition),1995,15(4):404-408. |
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| Authors: | Dong Qinxi |
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| 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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| Keywords: | forced vibration periodic solutions/ popp equation |
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