脉冲分数阶格点系统的不变测度

Invariant Measure of Impulsive Fractional Lattice System

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.