PULLBACK ATTRACTORS AND INVARIANT MEASURES FOR DISCRETE KLEIN-GORDON-SCHRODINGER EQUATIONS

被引：40
|
作者：
Zhao, Caidi [1 ]
Xue, Gang [1 ]
Lukaszewicz, Grzegorz [2 ]
机构：
[1] Wenzhou Univ, Coll Math Phys & Elect Informat Engn, Wenzhou 325035, Peoples R China
[2] Univ Warsaw, Inst Appl Math & Mech, Banacha 2, PL-02097 Warsaw, Poland
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2018年 / 23卷 / 09期
关键词：
Non-autonomous lattice system; pullback attractor; invariant measures; discrete Klein-Gordon-Schrodinger equations; DISSIPATIVE DYNAMICAL-SYSTEMS; REACTION-DIFFUSION EQUATIONS; STATISTICAL SOLUTIONS; GLOBAL ATTRACTORS; KERNEL SECTIONS; EXISTENCE;
D O I：
10.3934/dcdsb.2018122
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we first provide a sufficient and necessary condition for the existence of a pullback-D attractor for the process defined on a Hilbert space of infinite sequences. As an application, we investigate the non-autonomous discrete Klein-Gordon-Schrodinger system of equations, prove the existence of the pullback-D attractor and then the existence of a unique family of invariant Borel probability measures associated with the considered system.
引用
收藏
页码：4021 / 4044
页数：24
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