| 一类梁的横振动方程解的衰减率 |
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| 引用本文： | 姜静香.一类梁的横振动方程解的衰减率[J].辽宁师范大学学报(自然科学版),2002,25(4):357-359. |
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| 作者姓名： | 姜静香 |
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| 作者单位： | 河海大学,理学院,江苏,南京,210098 |
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| 摘 要： | 研究含外力和阻尼项一类梁的横振动方程解的率减率，关于这类方程解的整体存在性和渐进性态已经在许多文献中研究过，采用所谓能量扰动方法，通过建立能量范数建立一类非线性函数|μt|^q-2u，通过微分不等式的比较原理建立一个解的率减率和函数f之间的关系，结果包括：阻尼是超线性的。
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| 关 键 词： | 梁 横振动方程 衰减率 能量 |
| 文章编号： | 1000-1735(2002)04-0357-03 |
| 修稿时间： | 2002年3月19日 |
Decay Rate of Solutions of Beam Equations |
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| JIANG Jing,xiang.Decay Rate of Solutions of Beam Equations[J].Journal of Liaoning Normal University(Natural Science Edition),2002,25(4):357-359. |
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| Authors: | JIANG Jing xiang |
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| Abstract: | We study the decay rate of solutions of beam equations with damping and external force. The global existence and asymptotic behavior of solutions of the equation have been studied in many literatures. In the present paper we use a so called energy perturbation method to establish decay rate of solutions in terms of energy norm for a class of nonlinear functions |u t| q-2 u t, with the help of a comparison lemma of differential inequalities. We establish a relationship between decay rate of solutions and function f .Our result holds also in the case when the damping is superlinear. |
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| Keywords: | decay rate beam equation energy |
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