Impulsive evolution processes: abstract results and an application to a coupled wave equations

EM Bonotto, MJD Nascimento… - Advances in Differential …, 2023 - projecteuclid.org
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 …

Energy decay rate for a nonlinear von Kármán equation with memory

TJ Xiao, RH Zhou - Applied Mathematics Letters, 2022 - Elsevier
This paper is concerned with energy decay rates for a nonlinear von Kármán equation with
infinite memory and rotational inertia. We obtain decay rate 1/t only under a monotonicity …

Existence and stability of pullback exponential attractors for a nonautonomous semilinear evolution equation of second order

VT Azevedo, EM Bonotto, AC Cunha… - Journal of Differential …, 2023 - Elsevier
We consider a nonautonomous semilinear evolution problem that models some sort of
propagation problem in nonlinear elastic rods and nonlinear ion-acoustic waves. We …

Lower semicontinuity of pullback attractors for a non-autonomous coupled system of strongly damped wave equations

EM Bonotto, AN Carvalho, MJD Nascimento… - Applied Mathematics & …, 2024 - Springer
The aim of this paper is to study the robustness of the family of pullback attractors associated
with a non-autonomous coupled system of strongly damped wave equations, which is a …

Non-autonomous Klein-Gordon-Zakharov system: pullback dynamics in the continuous and impulsive approaches

EB Santiago - 2020 - repositorio.ufscar.br
This work is dedicated to study a non-autonomous formulation of the Klein-Gordon-Zakharov
system, which is a coupled system consisting of two non-autonomous evolution equations …

Mathematical Study of von Kármán Equations with Memory and Delay

Z Badidja - dspace.univ-ouargla.dz
In our work, we focus on studying the stability of nonlinear elastic plates of von Karman with
memory and delay, using the energy method. Based on functional analysis techniques, we …