Publisher Summary The study of the asymptotic behavior of dynamical systems arising from
mechanics and physics is a capital issue because it is essential for practical applications to …

Our aim in this article is to construct exponential attractors for singularly perturbed damped
wave equations that are continuous with respect to the perturbation parameter. The main …

Asymptotic behavior of a class of reaction–diffusion equations with delays Page 1 J. Math.
Anal. Appl. 281 (2003) 439–453 www.elsevier.com/locate/jmaa Asymptotic behavior of a class …

0.1. On the development of the theory of singular perturbations. Differential equations whose
highest derivatives are multiplied by small parameters are usually called singularly …

In this article, we give a construction of exponential attractors that is valid for general
translation–compact non–autonomous systems. Since they are generally infinite …

Our aim in this note is to construct exponential attractors for quasiperiodic nonautonomous
evolution equations. The main ingredient to obtain the existence of such sets is the so-called …

In this paper, we study the asymptotic behaviour of the solutions to a degenerate reaction–
diffusion system. This system admits a continuum of discontinuous stationary solutions due …

In this paper, we consider a partly dissipative reaction-diffusion system with discontinuous
nonlinearity in the form {u< sub> t--Δu+ u+ w∈ H< sub> 0(u--a), w< sub> t--ϵ (u--γw)= 0 …

Many reaction diffusion systems can be shown to admit eventually uniform a priori L a (for
a≥ 1) estimates on solutions. We demonstrate that existing duality arguments can be …

We address a parabolic equation of the form α (ut)− Δu+ W′(u)= f, complemented with
initial and either Dirichlet or Neumann homogeneous boundary conditions. The “double …