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 …

This paper is concerned with the asymptotic behaviour of solutions to a class of non-
autonomous stochastic nonlinear wave equations with dispersive and viscosity dissipative …

This book offers an introduction to the theory of non-autonomous and stochastic dynamical
systems, with a focus on the importance of the theory in the Applied Sciences. It starts by …

This review paper treats the dynamics of non-autonomous dynamical systems. To study the
forwards asymptotic behaviour of a non-autonomous differential equation we need to …

In this article we introduce the concept of a gradient-like nonlinear semigroup as an
intermediate concept between a gradient nonlinear semigroup (those possessing a …

In this paper we determine the exact structure of the pullback attractors in non-autonomous
problems that are perturbations of autonomous gradient systems with attractors that are the …

This note studies nonlinear systems evolving on manifolds with a finite number of
asymptotically stable equilibria and a Lyapunov function which strictly decreases outside …

Our aim in this paper is to study the long time behavior, in terms of upper semicontinuous
property of pullback attractors, of nonclassical diffusion equations with nonautonomous …

In this paper we give general results on the continuity of pullback attractors for nonlinear
evolution processes. We then revisit results of [D. Li, PE Kloeden, Equi-attraction and the …

In this work we prove the lower and upper semicontinuity of pullback, uniform, and cocycle
attractors for the non-autonomous dynamical system given by hyperbolic equation on a …