5 papers · 1 filter
On the stability of the Kawahara equation with a distributed infinite memory
Roberto de A. Capistrano Filho, Boumediène Chentouf, Isadora Maria de Jesus
This article will deal with the stabilization problem for the higher-order dispersive system, commonly called the Kawahara equation. To do so, we introduce a damping mechanism via…
Boundary stabilization of a one-dimensional wave equation by a switching time-delay: a theoretical and numerical study
Kaïs Ammari, Boumediène Chentouf, Nejib Smaoui
This paper deals with the boundary stabilization problem of a one-dimensional wave equation with a switching time-delay in the boundary. We show that the problem is well-posed in t…
Qualitative and numerical study of the stability of a nonlinear time-delayed dispersive equation
Kaïs Ammari, Boumediène Chentouf, Nejib Smaoui
This paper deals with the stability analysis of a nonlinear time-delayed dispersive equation of order four. First, we prove the well-posedness of the system and give some regularit…
Note on exponential and polynomial convergence for a delayed wave equation without displacement
Kaïs Ammari, Boumediène Chentouf
This note places primary emphasis on improving the asymptotic behavior of a multi-dimensional delayed wave equation in the absence of any displacement term. In the first instance,…
Further results on the asymptotic behavior of a 2D overhead crane with input delays: Exponential convergence
Kaïs Ammari, Boumediène Chentouf
This article is concerned with the asymptotic behavior of a 2D overhead crane. Taking into account the presence of a delay in the boundary, and assuming that no displacement term a…