This paper deals with the limiting behavior of invariant measures of the stochastic delay
lattice systems. Under certain conditions, we first show the existence of invariant measures …

In this paper, we study the long term dynamics of the stochastic Schrödinger delay lattice
systems when the nonlinear drift and diffusion terms are both locally Lipschitz continuous …

This paper is concerned with periodic measures of fractional stochastic reaction-diffusion
equations with variable time delay defined on unbounded domains. We first prove the …

This paper is devoted to the existence of invariant measures and their limiting behavior of
the stochastic Schrödinger lattice systems with respect to noise intensity. We prove the set of …

In this paper, stochastic FitzHugh–Nagumo lattice system with nonlinear noise in weighted
spaces is considered. Firstly, the well-posedness of solution of such system in a weighted …

The limiting stability of invariant probability measures of time homogeneous transition
semigroups for autonomous stochastic systems has been extensively discussed in the …

A highly nonlinear lattice p-Laplacian equation driven by superlinear noise is considered. By
using an appropriate stop** time technique and the dissipativeness of the nonlinear drift …

This paper is mainly concerned with limiting behaviors of invariant measures for neural field
lattice models in a random environment. First of all, we consider the convergence relation of …

This paper is mainly concerned with the asymptotic dynamics of non-autonomous stochastic
3D globally modified Navier–Stokes equations driven by nonlinear noise. Based on the well …

This paper deals with invariant measures of fractional stochastic reaction–diffusion
equations on unbounded domains with locally Lipschitz continuous drift and diffusion terms …