| 具有摄动边界薄膜振动Robin问题的可解性研究 |
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| 引用本文： | 欧阳成.具有摄动边界薄膜振动Robin问题的可解性研究[J].数学的实践与认识,2009,39(23). |
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| 作者姓名： | 欧阳成 |
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| 作者单位： | 湖州师范学院数学系,湖州,313000 |
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| 摘 要： | 研究了一个具有摄动边界薄膜振动的R ob in问题,利用参数变形法及问题的可解性条件,得到了该问题非退化的振动频率与振动模态.
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| 关 键 词： | 特征值 特征函数 振动 频率 可解性 |
The Solvability Study for a Vibrating Menmbrane Robin Problem with Perturbed Boundary |
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| OUYANG Cheng.The Solvability Study for a Vibrating Menmbrane Robin Problem with Perturbed Boundary[J].Mathematics in Practice and Theory,2009,39(23). |
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| Authors: | OUYANG Cheng |
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| Abstract: | A vibrating membrane Robin problem with perturbed boundary is considered. Using the deformation method of parameter and the solvable condition of the problem, the countable vibration frequencies and the corresponding countable vibration modalities with non-degeneration are obtained. |
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| Keywords: | eigenvalue eigenfunction vibration frequency solvability |
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