Stability of Bresse system with internal distributed delay
Abstract
In bounded domain, we consider a Bresse system with delay terms in the internal feedbacks acting in the first, third equations and distributed delay term in the second equation. We prove the global existence of its solution in Sobolev spaces by means of semigroup theory. Furthermore, we study the stability of solutions using the well known multiplier method.
Copyright © 2016 Lamine Bouzettouta, Salah Zitouni, Khaled Zennir, Amar Guesmia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
L. Bouzettouta, S. Zitouni, K. Zennir, A. Guesmia, Stability of Bresse system with internal distributed delay, J. Math. Comput. Sci. 7 (2017), 92–118.
BibTeX
@article{Bouzettouta2017,
author = {Bouzettouta, Lamine and Zitouni, Salah and Zennir, Khaled and Guesmia, Amar},
title = {Stability of Bresse system with internal distributed delay},
journal = {J. Math. Comput. Sci.},
volume = {7},
year = {2017},
pages = {92--118},
doi = {}
}