| 关于一类有界弦振动方程能量变化及解的性态 |
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| 引用本文： | 刘英. 关于一类有界弦振动方程能量变化及解的性态[J]. 韶关学院学报, 2005, 26(12): 6-8 |
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| 作者姓名： | 刘英 |
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| 作者单位： | 韶关学院,数学系,广东,韶关,512005 |
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| 摘 要： | 研究了一类关于受摩擦力作用且具有固定端点的有界弦振动的波动方程，证明了在满足一定条件时其能量的衰减性，并由此推导出在外力作用下方程解的性态．
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| 关 键 词： | 能量积分法 初边值 唯一性 稳定性 |
| 文章编号： | 1007-5348(2005)12-0006-03 |
| 收稿时间： | 2005-09-08 |
| 修稿时间： | 2005-09-08 |
One Species Bounded Vibrating String Equation Energy Transforming and the Properties of Solutions |
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| LIU Ying. One Species Bounded Vibrating String Equation Energy Transforming and the Properties of Solutions[J]. Journal of Shaoguan University(Social Science Edition), 2005, 26(12): 6-8 |
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| Authors: | LIU Ying |
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| Affiliation: | Department of Mathematics, Shaoguan University, Shaoguan 512005, Guangdong, China |
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| Abstract: | To bounded vibrating string equation by friction and have fixed end point, satisfied certainty condition of wave equation , proved that its energy was reduced, and pushed out the properties of equation solutions. |
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| Keywords: | method of energy integral initial - boundary value uniqueness stability |
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