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 …

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 …

This paper is concerned with the lower semicontinuity of attractors for semilinear non-
autonomous differential equations in Banach spaces. We require the unperturbed attractor …

In this paper we study the abstract semilinear parabolic problem of the form du/dt+ Au= ƒ (u),
as the limit of the corresponding fractional approximations du/dt+ A< sup> α u= ƒ (u), in a …

In this paper we study the asymptotic dynamics for a class of semilinear parabolic problems
with Dirichlet boundary conditions in domains with a small hole of size proportional to a …

We exhibit a class of singularly perturbed parabolic problems which the asymptotic behavior
can be described by a system of ordinary differential equation. We estimate the convergence …

In this paper we study the asymptotic nonlinear dynamics of scalar semilinear parabolic
problems of reaction-diffusion type when the diffusion coefficient becomes large in a …

In this paper we treat the problem of the rate of convergence of attractors of dynamical
systems for some autonomous semilinear parabolic problems. We consider a prototype …

In this paper, we propose the compact convergence approach to deal with the continuity of
attractors of some reaction–diffusion equations under smooth perturbations of the domain …

In this paper we study the continuity of invariant sets for nonautonomous infinite-dimensional
dynamical systems under singular perturbations. We extend the existing results on lower …