Forced oscillations of a damped 'Benjamin-Bona-Mahony' equation in a quarter plane

被引：0
|
作者：
Yang, YM [1 ]
Zhang, BY [1 ]
机构：
[1] Beijing Technol & Business Univ, Dept Math & Phys, Beijing, Peoples R China
来源：
Control Theory of Partial Differential Equations | 2005年 / 242卷
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中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This chapter studies an infinite-dimensional dynamic system described by a damped Benjamin-Bona-Mahony equation posed in a quarter plane. It shows that if the boundary forcing of the system is time periodic with small amplitude, then the system admits a unique time-periodic solution that, as a limit cycle, is globally exponentially stable. In other words, it comprises an exponentially stable global attractor for the system.
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页码：375 / 386
页数：12
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