Existence and asymptotic stability of a viscoelastic wave equation with a delay

M Kirane, B Said-Houari - Zeitschrift für angewandte Mathematik und …, 2011 - Springer
In this paper, we consider the viscoelastic wave equation with a delay term in internal
feedbacks; namely, we investigate the following problem u_ tt (x, t)-Δ u (x, t)+ ∫ 0^ tg (ts) Δ u …

Feedback stabilization of a 1-D linear reaction–diffusion equation with delay boundary control

C Prieur, E Trélat - IEEE Transactions on Automatic Control, 2018 - ieeexplore.ieee.org
The goal of this paper is to design a stabilizing feedback boundary control for a reaction-
diffusion partial differential equation (PDE), where the boundary control is subject to a …

Local existence and blow up of solutions to a logarithmic nonlinear wave equation with delay

M Kafini, S Messaoudi - Applicable Analysis, 2020 - Taylor & Francis
Full article: Local existence and blow up of solutions to a logarithmic nonlinear wave equation
with delay Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

Well posedness and stability result for a thermoelastic laminated Timoshenko beam with distributed delay term

A Choucha, D Ouchenane… - Mathematical Methods in …, 2020 - Wiley Online Library
In this work, we consider a linear thermoelastic laminated timoshenko beam with distributed
delay, where the heat conduction is given by cattaneoâs law. we establish the well …

Exponential stability of swelling porous elastic with a viscoelastic dam** and distributed delay term

A Choucha, SM Boulaaras… - Journal of Function …, 2021 - Wiley Online Library
In this paper, we consider a swelling porous elastic system with a viscoelastic dam** and
distributed delay terms in the second equation. The coupling gives new contributions to the …

Asymptotic analysis of a cucker–smale system with leadership and distributed delay

C Pignotti, I Reche Vallejo - Trends in Control Theory and Partial …, 2019 - Springer
We extend the analysis developed in Pignotti and Reche Vallejo (J Math Anal Appl 464:
1313–1332, 2018)[34] in order to prove convergence to consensus results for a Cucker …

Global well‐posedness and exponential stability results of a class of Bresse‐Timoshenko‐type systems with distributed delay term

A Choucha, D Ouchenane, K Zennir… - … Methods in the Applied …, 2024 - Wiley Online Library
In this paper, we consider a Bresse‐Timoshenko‐type system with distributed delay term.
Under suitable assumptions, we establish the global well‐posedness of the initial and …

Well-posedness and stability results for the Korteweg–de Vries–Burgers and Kuramoto–Sivashinsky equations with infinite memory: A history approach

B Chentouf, A Guesmia - Nonlinear Analysis: Real World Applications, 2022 - Elsevier
The main concern of the present paper is to study the well-posedness and stability problem
of two different dispersive systems subject to the effect of a distributed infinite memory term …

Feedback boundary stabilization of wave equations with interior delay

K Ammari, S Nicaise, C Pignotti - Systems & Control Letters, 2010 - Elsevier
In this paper we consider a boundary stabilization problem for the wave equation with
interior delay. We prove an exponential stability result under some Lions geometric …

Exponential stabilization of fully dynamic and electrostatic piezoelectric beams with delayed distributed dam** feedback

AJA Ramos, AÖ Özer, MM Freitas, DSA Júnior… - … Mathematik und Physik, 2021 - Springer
Fully dynamic system of equations for a single piezoelectric beam strongly couples the
mechanical (longitudinal) vibrations with the total charge distribution across the beam …