| 马巧珍.记忆型梁方程强解的全局吸引子[J].数学研究及应用,2007,27(2):307~315 |
| 记忆型梁方程强解的全局吸引子 |
| Global Attractors of Strong Solutions for the Beam Equation of Memory Type |
| 投稿时间：2005-01-18 修订日期：2006-07-03 |
| DOI：10.3770/j.issn:1000-341X.2007.02.011 |
| 中文关键词: 梁方程 线性记忆 全局吸引子. |
| 英文关键词:beam equation linear memory global attractors. |
| 基金项目:国家自然科学基金(10671158); 数学天元基金(10626042); 甘肃省自然科学基金(3ZS061-A25-016). |
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| 中文摘要: |
| 记忆型梁方程出现于一般的Kirchhoff粘弹性梁模型中. 本文在记忆核满足指数衰退的条件下证明了系统的能量也是指数衰退的. 进一步, 通过对条件(C)的验证获得了系统强解的全局吸引子. |
| 英文摘要: |
| The model with linear memory arise in the case of a generalized Kirchhoff viscoelastic bar, where a bending-moment relation with memory was considered. In this paper, the exponential decay is proved if the memory kernal satisfies the condition of the exponential decay. Furthermore, we show that the existence of strong global attractor by verifying the condition (C) introduced in [3]. |
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