Periodic measures of impulsive stochastic Hopfield-type lattice systems
Yusen Lin, Dingshi Li · Stochastic Analysis and Applications · 2021
This paper is concerned with the periodic measures of the stochastic impulsive Hopfield-type lattice systems driven by nonlinear noise. By the properties of periodic Markov processes, the existence of periodic measures for the impulsive stochastic lattice systems is established. To this end, we employ the idea of uniform estimates on the tails of the solutions to show the tightness of a family of distributions of the solutions of the lattice systems.