This paper is concerned with the large deviation principle of stochastic reaction-diffusion lattice systems defined on $ N $-dimensional integer set, where nonlinear drift term locally Lipschitz continuous polynomial growth any degree and diffusion linear growth. We first prove convergence solutions controlled systems, then establish deviations by weak method based equivalence Laplace principle.

This paper mainly deals with the almost surely exponential stability and exponential p-th moment stability for a class of stochastic Cohen–Grossberg neural networks with distributed delays and reaction–diffusion term. By constructing suitable Lyapunov functional, employing the nonnegative semi-martingale convergence theorem and applying matrix theory and stochastic analysis technique, two delay...