The mainly purpose of this paper is to study the asymptotic behaviour of abstract evolution equations. The first part of this work is dedicated to the attraction theory for univoque autonomous and nonautonomous problems ...

This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results that extend the following results for autonomous evolution processes (semigroups) (i) An autonomous ...

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

This article is a continuation of our previous work [5], where we formulated general existence theorems for pullback exponential attractors for asymptotically compact evolution processes in Banach spaces and discussed its ...

The goal of this master’s degree dissertation is to study the asymptotic behavior of non-autonomous hyperbolic partial differential equations with time-dependent coefficients. In order to achieve that, we introduce the ...

In this work, we present some of the theories of semigroups and global attractors. Also, we present process of evolution and pullback attractors. Finally, we show the existence and regularity of the pullback attractor for ...

We consider the family of singularly nonautonomous plate equation with structural dampingu(tt) + a(t, x)u(t) - Delta u(t) + (-Delta)(2)(u) + lambda u = f(u),in a bounded domain Omega subset of R(n), with Navier boundary ...

We show the lower semicontinuity of the family of pullback attractors for the singularly nonautonomous plate equation with structural dampingu(tt) + a(t, x)u(t) + (-Delta)u(t) + (-Delta)(2)u + lambda u = f(u),in the energy ...

We show the lower semicontinuity of the family of pullback attractors for the singularly nonautonomous plate equation with structural dampingu(tt) + a(t, x)u(t) + (-Delta)u(t) + (-Delta)(2)u + lambda u = f(u),in the energy ...

We consider the family of singularly nonautonomous plate equation with structural damping utt + a(t, x)ut - Δut + (-Δ)2u + λu = f(u), in a bounded domain Ω ⊂ Rn, with Navier boundary conditions. When the nonlinearity f is ...