| 用能量积分法证明波动方程解的唯一性问题 |
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| 引用本文： | 王丽敏,崔晓娜.用能量积分法证明波动方程解的唯一性问题[J].新乡学院学报(自然科学版),2011,28(1):4-5. |
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| 作者姓名： | 王丽敏 崔晓娜 |
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| 作者单位： | 安阳师范学院,数学与统计学院,河南,安阳,455000 |
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| 摘 要： | 运用能量积分法解决了三种波动方程解的唯一性证明问题,考虑了受摩擦力作用且有固定端点的两种有第一类边界条件、有界弦振动以及波动方程的第三类初边值问题。并证明了当问题的非齐次项有小的改变时,其总能量有所改变,其相应的解也有所改变。
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| 关 键 词： | 能量积分 波动方程 唯一性 固定端点 第三类初边值问题 |
The Energy Integration in the Prove of the Uniqueness of the Wave Equations |
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| Authors: | WANG Li-min CUI Xiao-na |
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| Institution: | (School of Mathematics and Statistics,Anyang Normal University,Anyang 455000,China) |
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| Abstract: | We proved the uniqueness of the solutions of three kinds of wave equations in the paper,including the first and the third kinds of initial value problem of the wave equations with the fixed boundary and the friction force.We also studied the change of the solutions with the tiny change of the non-homogenous terms. |
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| Keywords: | energy integration wave equations uniqueness fixed boundary the third type of initial value |
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