| Global Attractors of Strong Solutions for the Beam Equation of Memory Type |
| Received:January 18, 2005 Revised:July 03, 2006 |
| Key Words:
beam equation linear memory global attractors.
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| Fund Project:the National Natural Science Foundation of China (10671158); the Mathematical Tianyuan Foundation of China Grant(10626042); the Natural Science Foundation of Gansu Province (3ZS061-A25-016). |
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| Abstract: |
| 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]. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.02.011 |
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