General decay of solutions of a linear one-dimensional porous-thermoelasticity system with a boundary control of memory type

A Soufyane, M Afilal, T Aouam, M Chacha - Nonlinear Analysis: Theory …, 2010 - Elsevier
In this paper we consider linear porous-thermoelasticity systems, in a bounded domain,
where the memory-type damping is acting on a part of the boundary. We establish a general …

General decay of solutions of a wave equation with a boundary control of memory type

SA Messaoudi, A Soufyane - Nonlinear Analysis: Real World Applications, 2010 - Elsevier
In this paper we consider a semilinear wave equation, in a bounded domain, where the
memory-type damping is acting on a part of the boundary. We establish a general decay …

On the control of the wave equation by memory-type boundary condition

MI Mustafa - Discrete and Continuous Dynamical Systems, 2014 - aimsciences.org
In this paper we consider a wave equation with a viscoelastic boundary damping localized
on a part of the boundary. We establish an explicit and general decay rate result that allows …

Uniform stabilization of an axially moving Kirchhoff string by a boundary control of memory type

A Kelleche, N Tatar, A Khemmoudj - Journal of Dynamical and Control …, 2017 - Springer
In this paper, we study the stabilization of solutions of an axially moving string of kirchhoff
type by a viscoelastic boundary control. We prove that the dissipation produced by the …

[HTML][HTML] Modelling and nonlinear boundary stabilization of the modified generalized Korteweg–de Vries–Burgers equation

N Smaoui, B Chentouf, A Alalabi - Advances in Difference Equations, 2019 - Springer
In this paper, we study the modelling and nonlinear boundary stabilization problem of the
modified generalized Korteweg–de Vries–Burgers equation (MGKdVB) when the spatial …

Nonlinear transmission problem for wave equation with boundary condition of memory type

JJ Bae - Acta applicandae mathematicae, 2010 - Springer
In this paper we consider a transmission problem with a boundary damping condition of
memory type, that is, the wave propagation over bodies consisting of two physically different …

Existence, blow-up and exponential decay estimates for a nonlinear wave equation with boundary conditions of two-point type

LX Truong, APN Dinh, NT Long - Nonlinear Analysis: Theory, Methods & …, 2011 - Elsevier
This paper is devoted to studying a nonlinear wave equation with boundary conditions of
two-point type. First, we state two local existence theorems and under the suitable …

Uniform Stabilization of aNonlinear Axially Moving String by a Boundary Control of Memory Type

A Kelleche, A Berkani, N Tatar - Journal of Dynamical and Control …, 2018 - Springer
A nonlinear problem modeling a moving string with memory condition at the boundary is
considered. This work aims at establishing reasonable sufficient conditions capable of …

Existence and exponential decay of solutions for a wave equation with integral nonlocal boundary conditions of memory type

LTP Ngoc, NA Triet, AP Ngoc Dinh… - … Functional Analysis and …, 2017 - Taylor & Francis
In this paper, we consider a wave equation with integral nonlocal boundary conditions of
memory type. First, we establish two local existence theorems by using Faedo–Galerkin …

A New General Decay Rate of Wave Equation with Memory‐Type Boundary Control

S Fan - Mathematical Problems in Engineering, 2021 - Wiley Online Library
Of interest is a wave equation with memory‐type boundary oscillations, in which the forced
oscillations of the rod is given by a memory term at the boundary. We establish a new …