In this paper we consider the strongly damped wave equation with time-dependent terms in
a bounded domain Ω⊂ Rn, under some restrictions on βε (t), γ (t) and growth restrictions on …

In this paper we study the solvability and asymptotic dynamics of a nonautonomous
semilinear reaction–diffusion equation in a domain with a handle Ω 0= Ω∪ R 0, formed by …

Inspired by the theory of semigroups of growth α, we construct an evolution process of
growth α. The abstract theory is applied to study semilinear singular non-autonomous …

A Non-autonomous Damped Wave Equation with a Nonlinear Memory Term | Applied
Mathematics & Optimization Skip to main content SpringerLink Account Menu Find a journal …

The aim of this paper is to study the long-time dynamics of solutions of the evolution system
{utt− Δ u+ u+ η (− Δ) 1 2 u t+ a ϵ (t)(− Δ) 1 2 vt= f (u),(x, t)∈ Ω×(τ,∞), vtt− Δ v+ η (− Δ) 1 2 vt …

We consider the family of singularly nonautonomous plate equation with structural
damping\[u_ {tt}+ a (t, x) u_ {t}+(-\Delta) u_ {t}+(-\Delta)^{2} u+\lambda u= f (u),\] in a bounded …

The aim of this paper is to study the long-time behavior of impulsive evolution processes. We
obtain qualitative properties for impulsive evolution processes, and we prove an existence …

In this article we study non-autonomous approximations governed by the fractional powers
of damped wave operators of order α∈(0, 1) subject to Dirichlet boundary conditions in an n …

In this paper we consider the nonautonomous semilinear parabolic problems with time-
dependent linear operators u t+ A (t) u= f (t, u), t> τ; u (τ)= u 0, in a Banach space X. Under …

We consider a nonautonomous semilinear evolution problem that models some sort of
propagation problem in nonlinear elastic rods and nonlinear ion-acoustic waves. We …