Global well-posedness and exponential decay of fully dynamic and electrostatic or quasi-static piezoelectric beams subject to a neutral delay

S Loucif, R Guefaifia, S Zitouni… - Zeitschrift für angewandte …, 2023 - Springer
In this paper, we consider a one-dimensional system of fully dynamic and electrostatic or
quasi-static piezoelectric beams, where the mechanical equation is subject to a distributed …

Adaptive stabilization of a Timoshenko system by boundary feedback controls

JH Hassan, N Tatar - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
In this work, we investigate the global existence and boundary adaptive stabilization of an
undamped Timoshenko beam equation subject to two control inputs at the right end. High …

[PDF][PDF] Well-posedness and stability result for a swelling porous elastic system with neutral delay and porous damping

M Boudeliou, B Kilani, A Djebabla - Filomat, 2024 - pmf.ni.ac.rs
This study takes into account a one-dimensional swelling porous elastic system with neutral
delay and porous damping acting on the second equation. We verify the existence and …

[PDF][PDF] Arbitrary decay for a nonlinear Euler-Bernoulli beam with neutral delay

I Lakehal, D Benterki, K Zennir - Theoretical and Applied Mechanics, 2023 - doiserbia.nb.rs
In this paper, the free transverse vibration of a nonlinear Euler-Bernoulli beam under a
neutral type delay is considered. In order to suppress the beam transverse vibrations, a …

Stabilization of a nonlinear Euler-Bernoulli viscoelastic beam subjected to a neutral delay

I Lakehal, D Benterki, K Zennir - Theoretical and Applied Mechanics, 2024 - doiserbia.nb.rs
An approach is implemented in this article to analyze the decay rate of nonlinear beams
according to the Euler-Bernoulli equation in the context of rheological viscoelastic damping …

New general decay result for a class of neutral viscoelastic equations

KP Jin, J Liang, TJ Xiao - Journal of Mathematical Analysis and …, 2022 - Elsevier
We are concerned with the decay estimate of a neutral viscoelastic equation with nonlinear
boundary damping and boundary memory effect. We obtain a general decay theorem for the …

Well-posedness and asymptotic behavior of some evolution problems with delay

S Loucif - 2024 - dspace.univ-tebessa.dz
In this thesis, we will study some evolution problems that represent some physical
phenomena (Piezoelectric beam, Kirchhoff beam) with some types of delay (for example …

Global well-posedness and energy decay for a one dimensional porous-elastic system subject to a neutral delay

S Labidi, HE Khochemane, S Loucif… - Authorea …, 2022 - essopenarchive.org
In this article, we consider a one-dimensional porous-elastic system with porous-viscosity
and a distributed delay of neutral type. First, we prove the global existence and uniqueness …

Optimal stability for a viscoelastic neutral differential problem

JH Hassan, N Tatar - Journal of Integral Equations and …, 2022 - projecteuclid.org
We investigate the asymptotic behavior of a viscoelastic neutral differential equation. A
stability with an explicit decay result of the energy associated to the problem is established. It …

[PDF][PDF] On the stability of porous-elastic system with memory and neutral delay

H Dridi, TA Apalara - researchgate.net
In this paper, we study a memory-type porous-elastic system with a neutral delay on the
elasticity equation. We establish an exponential decay estimate for the solution depending …