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math.AP2020
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…
math.AP2020
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…