机构地区: 中山大学信息科学与技术学院计算机科学系
出 处: 《应用泛函分析学报》 2005年第2期123-129,共7页
摘 要: 研究受周期外力影响的非自治Ginzburg-Landau方程的解的长时间行为.首先证明系统在空间H上存在周期解,而且周期解包含在空间V中的一个有界吸收集内.然后证明了当耗散系数λ满足一定条件时,该系统在空间H上具有唯一的周期解,该周期解指数吸引H中的任意有界集. We study the long time behavior of solutions for the nonautonomous Ginzburg-Landau equation driven by a time-periodlc force. It is shown that the system has periodic solutions in the space H and the periodic solutions are included in a bounded absorbing set in the space V. Moreover, if the dissipative parameter ,λ is in certain range, the system has a unique periodic solution in H, which attracts any bounded set in H exponentially.