Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
09 December 2019 |
24 December 2019 |
10 March 2020 |
Abstract: In this work we consider the boundary stabilization of the Schrödinger equation with variable constants and a dynamical Neumann boundary control. Our proof relies on the Geometric multiplier skills and the energy perturbed approach. The dynamics on the boundary comes from the acceleration terms which cannot be ignored in some physical applications. phenomena. In recent years, different equations with time delay effects have become an active area of research. In particular, as is well-known that an arbitrarily small delay may be the source of instability and some dissipative mechanism need to be introduced to against the instabilities, the control and stabilization of the wave equations with time delay have been extensively studied by several authors.
