| 一类动力系统的稳定性及有限维逼近 |
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| 引用本文： | 林晓宁. 一类动力系统的稳定性及有限维逼近[J]. 东北师大学报(自然科学版), 1998, 0(3): 18-23 |
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| 作者姓名： | 林晓宁 |
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| 作者单位： | 东北师范大学数学系 |
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| 摘 要： | 引述了一端固定而另一端具有载荷的弹性梁弯曲与扭转振动同时发生的动力系统的数学模型，运用算子半群理论讨论了系统的解的存在性，唯一性及稳定性，最后给出了有限维逼近。
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| 关 键 词： | 算子半群 稳定性 有限维逼近 弹性梁 动力系统 |
The Stability and Finite-Dimensional Approximation on Dynamic Systems of Coupled Bending and Torsional Vibration |
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| Lin Xiaoning. The Stability and Finite-Dimensional Approximation on Dynamic Systems of Coupled Bending and Torsional Vibration[J]. Journal of Northeast Normal University (Natural Science Edition), 1998, 0(3): 18-23 |
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| Authors: | Lin Xiaoning |
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| Abstract: | In this paper,the modeling of coupled bending and torsional vibration of flexible beams is cited. The existence,uniqueness and stability of solution are obtained by means of the methods of operators semigroups. At tast it gives the finite-dimensional approximation. |
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| Keywords: | semigroup stability finite-dimensional approximation |
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