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LONG-TIME BEHAVIOR OF FINITE DIFFERENCE SOLUTIONS OF THREE-DIMENSIONAL NONLINEAR SCHRDINGER EQUATION WITH WEAKLY DAMPED
作者姓名:Fa-yong Zhang Department of Mathematics  Heilongjiang University  Harbin 150080  China
作者单位:Fa-yong Zhang Department of Mathematics,Heilongjiang University,Harbin 150080,China
基金项目:The research was supported by the National Natural Science Foundation of China.
摘    要:The three-dimensional nonlinear Schrdinger equation with weakly damped that pos-sesses a global attractor are considered.The dynamical properties of the discrete dynamicalsystem which generate by a class of finite difference scheme are analysed.The existence ofglobal attractor is proved for the discrete dynamical system.

关 键 词:Nonlinear Schrdinger equation  Finite difference method  Global attractor.
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