脉冲分数阶格点系统的不变测度  

Invariant Measure of Impulsive Fractional Lattice System

作　　者：张怡然 黎定仕[1] Zhang Yiran;Li Dingshi(School of Mathematics,Southwest Jiaotong University,Chengdu 610031)

机构地区：[1]西南交通大学数学学院,成都610031

出　　处：《数学物理学报（A辑）》2024年第6期1563-1576,共14页Acta Mathematica Scientia

基　　金：国家自然科学基金(11971394,12371178);中央引导地方基金(2023ZYD0002)

摘　　要：该文首先证明了分数阶格点系统解的全局适定性,然后验证了解算子生成的过程是一个连续过程,并证明该过程具有拉回渐近零性和拉回吸引子,最后通过广义Banach极限构造了该过程的一组Borel不变概率测度.This paper first verifies the global validity of the solution of fractional lattice system.Then the paper establishes that the process generated by the solution operator is a continuous process,and it is verified that the process has pull-back asymptotic zero and pull-back attractor,and finally construct a set of Borel invariant probability measures of the process through the generalized Banach limit.

关 键 词：不变测度 脉冲格点系统 分数阶 拉回吸引子 

分 类 号：O193[理学—数学]