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 …

In this paper, we consider a thermoelastic model where heat conduction is described by the
history dependent version of the Moore–Gibson–Thompson equation, arising via the …

Smooth attractors for strongly damped wave equations Page 1 Nonlinearity Smooth attractors for
strongly damped wave equations To cite this article: Vittorino Pata and Sergey Zelik 2006 …

We address the study of the asymptotic behavior of solutions to an abstract
integrodifferential equation modeling linear viscoelasticity. Framing the equation in the past …

For a process U (t, τ): Xτ→ Xt acting on a one-parameter family of normed spaces, we
present a notion of time-dependent attractor based only on the minimality with respect to the …

This paper is concerned with the following memory-type Timoshenko system ρ 1 φ tt-K (φ x+
ψ) x= 0, ρ 2 ψ tt-b ψ xx+ K (φ x+ ψ)+∫ 0+∞ g (s) ψ xx (ts) ds= 0, with Dirichlet boundary …

We consider in this paper the problem of asymptotic behavior of solutions for two
viscoelastic wave equations with infinite memory. We show that the stability of the system …

It is well known that inequalities are a very important tool in classical analysis. One
application of these inequalities is the theory of PDEs (Partial Differential Equations). To our …

We consider the model equation arising in the theory of viscoelasticity $$\partial_ {tt} u-h_t
(0)\Delta u-\int_ {0}^\infty h_t'(s)\Delta u (ts)\d s+ f (u)= g. $$ Here, the main feature is that the …

We analyze a differential system arising in the theory of isothermal viscoelasticity. This
system is equivalent to an integrodifferential equation of hyperbolic type with a cubic …