| 一类非线性摆方程的加权伪概周期解 |
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| 引用本文： | 刘怡建.一类非线性摆方程的加权伪概周期解[J].龙岩学院学报,2011,29(2):4-6,9. |
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| 作者姓名： | 刘怡建 |
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| 作者单位： | 福州大学数学与计算机科学学院,福建福州,350108 |
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| 摘 要： | 利用加权伪概周期函数的性质及Banach压缩映射原理研究一类常见的非线性摆方程的加权伪概周期解问题,证明了该加权伪概周期解的存在性及在‖u‖L∞<1中的唯一性。
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| 关 键 词： | 摆方程 Duffing方程 加权伪概周期解 Banach压缩映射原理 |
Weighted Pseudo Almost Periodic Solution to Nonlinear Pendulum Equation |
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| LIU Yi-jian.Weighted Pseudo Almost Periodic Solution to Nonlinear Pendulum Equation[J].Journal of Longyan Univercity,2011,29(2):4-6,9. |
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| Authors: | LIU Yi-jian |
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| Institution: | LIU Yi-jian |
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| Abstract: | In this paper,the Nonlinear Pendulum equation is studied.The weighted pseudo almost periodic solution is found,and its uniqueness is also obtained.The crucial tools used in the proof are weighted pseudo almost periodic functions and Banach contraction mapping principle. |
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| Keywords: | pendulum equation Duffing equation weighted pseudo almost periodic solution Banach contraction mapping principle |
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