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 …

This article is concerned with the global existence and random dynamics of the non-
autonomous p-Laplacian lattice system defined on the entire integer set driven by infinite …

We study the asymptotic behavior of solutions to a class of non-autonomous stochastic
lattice systems driven by multiplicative white noise. We prove the existence and uniqueness …

The periodic measures of the stochastic delay reaction-diffusion lattice systems are
investigated. Under a general condition, we prove the existence of periodic measures when …

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 the dynamics of the stochastic reaction–diffusion lattice
systems defined on the entire integer set driven by locally Lipschitz nonlinear noise. We …

In this article we investigate the global existence as well as long-term dynamics for a wide
class of lattice plate equations on the entire integer set with nonlinear damping driven by …

In this paper, we study the Wong-Zakai approximations given by a stationary process via the
Wiener shift and their associated long term pathwise behavior for the stochastic lattice …

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 …

We study asymptotic stability of a class of non-autonomous stochastic delay lattice systems
driven by a multiplicative white noise. Under certain conditions, we prove such systems have …