Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (6): 1563-1576.

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Invariant Measure of Impulsive Fractional Lattice System

Zhang Yiran*(),Li Dingshi()   

  1. School of Mathematics, Southwest Jiaotong University, Chengdu 610031
  • Received:2024-01-23 Revised:2024-05-06 Online:2024-12-26 Published:2024-11-22
  • Supported by:
    NSFC(11971943);NSFC(12371178);Fundamental Research Funds for the Central Universities(2023ZYD0002)

Abstract:

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.

Key words: Invariant measure, Impulsive lattice system, Fractional, Pullback attractor

CLC Number: 

  • O193
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