Stability analysis for Kawahara equation with boundary time-varying delay

Toufik Ennouari, Abdellaziz Binid, Ahmat Mahamat Taboye, Department of Mathematics, Faculty of Sciences, Chouaib Doukkali University, Multidisciplinary Laboratory of Research and Innovation , Moroccan School of Engineering Sciences

Journal of Vibration and Control

Published online on May 07, 2025

Abstract

Journal of Vibration and Control, Ahead of Print.
This paper deals with the stability of the (generalized) Kawahara equation with a time-varying delay on the boundary feedback. First, we demonstrate the well-posedness of the nonlinear Kawahara system by using semigroup theory and fixed-point arguments. ...