Attractors for Discrete Nonlinear Schrdinger Equation with Delay  

作　　者：Tao Chen Sheng-fan Zhou Cai-di Zhao 

机构地区：[1]Admissions and Career Service,Shanghai University,Shanghai 200444,China [2]Department of Applied Mathematics,Shanghai Normal University,Shanghai 200234,China [3]Department of Mathematics and Information Science,Wenzhou University,Wenzhou 325035,China

出　　处：《Acta Mathematicae Applicatae Sinica》2010年第4期633-642,共10页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No.10771139,10826091);the Natural Science Foundation of Wenzhou University with item (No.2007L024);the Innovation Program of Shanghai Municipal Education Commission (No.08ZZ70);Leading Academic Discipline Project of Shanghai Normal University(No.DZL707);Foundation of Shanghai Normal University (No.DYL200803,PL715);Natural Science Foundation of Zhejiang Province (No.Y6080077)

摘　　要：In this paper,we first prove the existence of the global attractor Aν ∈ C（[-ν,0],2）（ν 0） for a weak damping discrete nonlinear Schrdinger equation with delay.Then we consider an upper semi-continuity of Aν as ν → 0＋.In this paper,we first prove the existence of the global attractor Aν ∈ C（[-ν,0],2）（ν 0） for a weak damping discrete nonlinear Schrdinger equation with delay.Then we consider an upper semi-continuity of Aν as ν → 0＋.

关 键 词：Discrete Schrdinger equation DELAY global attractor upper semi-continuity 

分 类 号：O413.1[理学—理论物理] O177.91[理学—物理]