| 非齐次边界条件下Sine-Gordon型二阶非线性系统的全局吸引子及能稳性 |
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| 引用本文： | 李全国.非齐次边界条件下Sine-Gordon型二阶非线性系统的全局吸引子及能稳性[J].应用数学学报,2006,29(6):1118-1124. |
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| 作者姓名： | 李全国 |
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| 作者单位： | 暨南大学数学系,广州,510632 |
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| 摘 要： | 本文在非齐次边界条件下,证明了有阻尼Sine-Gordon型二阶非线性系统的全局吸引子的存在性．同时证明了当时,该全局吸引子为—个平衡点,而且该平衡点具有指数吸引性．并将所得结果应用到系统能稳性的研究中．
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| 关 键 词： | Sine-Gordon方程 平衡点 全局吸引子 变分法 |
| 收稿时间： | 2005-08-24 |
| 修稿时间： | 2005-08-24 |
The Global Attractor of the Sine-Gordon Type Nonlinear Second Order System Under Nonhomogeneous Boundary Condition and the Stabilizability |
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| LI QUANGUO.The Global Attractor of the Sine-Gordon Type Nonlinear Second Order System Under Nonhomogeneous Boundary Condition and the Stabilizability[J].Acta Mathematicae Applicatae Sinica,2006,29(6):1118-1124. |
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| Authors: | LI QUANGUO |
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| Institution: | Department of Mathematics, Jinan University, Guangzhou 510632 |
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| Abstract: | This paper proves the existences of the global attractor of the Sine-Gordon type nonlinear second order system under nonhmomgeneous boundary condition, at the same time, the global attractor is proved to be a equilibrium point when , and the equilibrium point is exponentially attractive. The result is applied to the study of the stabilizability of system. |
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| Keywords: | Sine-Gordon equation equilibrium point global attractor variational |
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