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...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+.展开更多
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)+3 种基金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)
文摘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+.