| 非线性高阶Kirchhoff型方程解的渐近性 |
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| 引用本文： | 李艳.非线性高阶Kirchhoff型方程解的渐近性[J].西南师范大学学报(自然科学版),2011,36(2). |
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| 作者姓名： | 李艳 |
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| 作者单位： | 成都信息工程学院数学学院,成都,610225 |
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| 基金项目： | 四川省教育厅重点项目，成都信息工程学院基金项目，成都信息工程学院引进人才科研启动基金 |
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| 摘 要： | 本文考虑有界区域上弱耗散非线性高阶Kirchhoff型方程un+(∫Ω∣Dmu∣2dx)q(-△)mu+βut+g(u)=0 x∈Ω,t＞0这里m＞1为正整数,q＞0为正常数.研究了该方程在Eo=Hm(Ω)×H(Ω)中解的渐近性态,证明了该方程的解是渐近稳定的.
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| 关 键 词： | Kirchhoff型方程 高阶 渐近性 |
The Asymptotic Behavior of Solutions for a Nonlinear Higher Order Kirchhoff Type Equation |
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| LI Yan.The Asymptotic Behavior of Solutions for a Nonlinear Higher Order Kirchhoff Type Equation[J].Journal of Southwest China Normal University(Natural Science),2011,36(2). |
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| Authors: | LI Yan |
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| Institution: | LI Yan College of mathematics,Chengdu University of Information Technology,Chengdu 610225,Chin |
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| Abstract: | In this paper, the auther deals with the nonlinear higher order Kirchhoff type equation with weak dissipation un+(∫Ω∣Dmu∣2dx)q(-△）mu+βut+g(u)=0 x∈Ω，t＞0
in a bounded domain, where m＞1 is a positive integer, and q＞0 is a positive constant. The author studies the as
ymptotic behavior of solutions to this equationin Eo = Hm (Ω) × H(Ω) and proves that the solutions to this equation
are of asymptotic stability. |
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| Keywords: | Kirchhoff type equation higher order asymptotic behavior |
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