随机时滞Schr dinger格点系统的周期测度

Periodic Measures of Delayed Stochastic Schr dinger Lattice Systems

考虑具有时滞的随机Schr dinger格点系统的周期测度.首先给出解的存在唯一性,然后得出解的一致估计以建立解的概率分布族的胎紧性.最后,当系统的时间相关项在时间上是周期性时,证明周期测度的存在性.

In this paper,we consider periodic measures of stochastic Schr dinger lattice systems with time delay.We first give the existence and uniqueness of solutions and then derive the uniform estimates of solutions in order to establish the tightness of a set of probability distributions of the solutions.We finally prove the existence of periodic measures when the time-dependent terms of the system are periodic in time.