| 一类高阶非线性波动方程的时间周期问题 |
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| 引用本文： | 王艳萍,陈国旺.一类高阶非线性波动方程的时间周期问题[J].应用数学学报,2007,30(2):289-296. |
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| 作者姓名： | 王艳萍 陈国旺 |
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| 作者单位： | 1. 郑州航空工业管理学院数理系,郑州,450015;应用物理与计算数学研究所,北京,100088
2. 郑州大学数学系,郑州,450052 |
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| 摘 要： | 本文利用临界点理论证明一类高阶非线性波动方程时间周期弱解的存在性．
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| 关 键 词： | 高阶非线性波动方程 时间周期问题 弱解 |
| 修稿时间： | 2005-09-202007-01-18 |
Time-periodic Problem to a Class of Nonlinear Wave Equation Of Higher Order |
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| WANG YANPING,CHEN GUOWANG.Time-periodic Problem to a Class of Nonlinear Wave Equation Of Higher Order[J].Acta Mathematicae Applicatae Sinica,2007,30(2):289-296. |
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| Authors: | WANG YANPING CHEN GUOWANG |
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| Institution: | 1Department of Mathematics and Physics,Zhengzhou Institute of Aeronautic Industrial Management, Zhengzhou 450015;2Institute of Applied Physics and Computational Mathematics, Beijing 100080;3Department of Mathematics, Zhengzhou University, Zhengzhou 450052 |
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| Abstract: | This paper proves the existence of the time-periodic weak solution for a class of nonlinear wave equation of higher order by means of the critical point theory. |
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| Keywords: | nonlinear wave equation of higher order time-periodic problem weak solution |
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