The book treats the theory of attractors for non-autonomous dynamical systems. The aim of
the book is to give a coherent account of the current state of the theory, using the framework …

A concept of a bi-spatial random attractor for a random dynamical system is introduced. A
unified result about existence and upper semi-continuity for a family of bi-spatial random …

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 …

We develop a general method to prove the existence of spectral gaps for Markov
semigroups on Banach spaces. Unlike most previous work, the type of norm we consider for …

In this paper, we first provide some sufficient conditions for the existence of global compact
random attractors for general random dynamical systems in weighted space lρp (p⩾ 1) of …

We first prove the existence and uniqueness of pullback and random attractors for abstract
multi-valued non-autonomous and random dynamical systems. The standard assumption of …

In this work we present the existence and uniqueness of pullback and random attractors for
stochastic evolution equations with infinite delays when the uniqueness of solutions for …

This paper first introduces the so-called quasi-continuous random dynamical system (RDS)
on a separable Banach space. The quasi-continuity is weaker than all the usual continuities …

The upper semicontinuity of random attractors for non-compact random dynamical systems
is proved when the union of all perturbed random attractors is precompact with probability …

In this paper we consider a class of a stochastic partial differential equations with
multiplicative noise and consider the limit of fast diffusion or other fast elliptic operator. We …