| 受迫摆方程的远程概周期解 |
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| 引用本文： | 滕飞. 受迫摆方程的远程概周期解[J]. 青岛大学学报(自然科学版), 2009, 22(1): 18-21 |
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| 作者姓名： | 滕飞 |
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| 作者单位： | 青岛大学数学科学学院,山东,青岛,266071 |
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| 摘 要： | 利用远程概周期函数的性质和Banach压缩映像原理研究了受迫摆方程的远程概周期解问题,证明了远程概周期解的存在性及在条件‖y-π‖L∞〈π/2下的唯一性结论。
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| 关 键 词： | 受迫摆方程 Duffing方程 远程概周期解 格林函数 Banach压缩映像原理 |
Remotely Almost Periodic Solutions of the Forced Pendulum Equation |
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| Teng Fei. Remotely Almost Periodic Solutions of the Forced Pendulum Equation[J]. Journal of Qingdao University(Natural Science Edition), 2009, 22(1): 18-21 |
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| Authors: | Teng Fei |
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| Affiliation: | Colledge of Mathematics;Qingdao University;Qingdao 266071;China |
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| Abstract: | The remotely almost periodic solution of the forced pendulum equation is studied by using the definition of remotely almost periodic functions and Banach contraction mapping principle.And then the existence and uniqueness of the remotely almost periodic solution under the condition ‖y-π‖L∞〈π/2 is obtained. |
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| Keywords: | forced pendulum equation duffing equation remotely almost periodic solution green function banach contraction mapping principle |
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