Indirect boundary stabilization with distributed delay of coupled multi-dimensional wave equations-Reference-Cited by-同舟云学术

Indirect boundary stabilization with distributed delay of coupled multi-dimensional wave equations

Published:2022-06-24 Issue:1 Volume:49 Page:15-34
ISSN:1223-6934
Container-title:Annals of the University of Craiova, Mathematics and Computer Science Series
language:
Short-container-title:AMI

Author:

Silga Roland^ORCID, ,Kyelem Bila Adolphe^ORCID,Bayili Gilbert^ORCID, , ,

Abstract

In this article, our main concern is the study of the effect of a distributed time-delay in boundary stabilization of a strongly coupled multi-dimensional wave equations. We will establish that the system with time-delay inherits the same exponential decay rate from the corresponding one without delay.

Publisher

University of Craiova

Reference27 articles.

1. "[1] M. Adimy and F. Crauste, Global stability of a partial differential equation with distributed delay due to cellular replication, Nonlinear Analysis 54}(2003), no. 9, 1469-1491. https://doi.org/10.1016/S0362-546X(03)00197-4

2. [2] M. Adimy, F.n Crauste, and A. Abdllaoui, Asymptotic behaviour of a discrete maturity structured system of hematopoietic stem cell dynamics with several delays, Mathematical Modelling of Natural Phenomena 1 (2006), no. 1, 1-22. https://doi.org/10.1051/mmnp:2008001

3. [3] F.A. Khodja and A. Bader, Stabilizability of systems of one-dimensional wave equations by one internal or boundary control force, SIAM J. Control and Optimization 39 (2001), no. 4, 1833-1851. https://doi.org/10.1137/S0363012900366613

4. [4] C.D. Benchimol, A note on weak stabilization of contraction semigroups, SIAM J. Control Optim. 16 (1978), 373-379.

5. [5] L. Berezansky and E. Braverman, Oscillation properties of a logistic equation with distributed delay, Nonlinear Analysis: Real World Applications 4 (2003), no. 3, 1-19. https://doi.org/10.1016/S1468-1218(02)00010-X