Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 15
Stabilization of a reaction-diffusion equation involving distributed delay
Soufiane Boumasmoud, Khalil Ezzinbi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
October 23, 2021
March 03, 2031
April 15, 2031

Abstract: The decomposition method [1], permits to divide a system into two uncoupled subsystems, one of which is stable without applying controls, while the other one is unstable. We adopt the same approach to establish the feedback stabilization of a reaction-diffusion model with a distributed delay and homogeneous Neumann boundary condition. The speed of convergence has been provided. The weak stabilization of the problem without delay has been established in ([2], Example 3.3). Based on decomposition method, the strong stabilization has been provided ([3], Example 2.5), while for the homogenous ...