Abstract and Applied Analysis
Volume 1 (1996), Issue 3, Pages 327-340
doi:10.1155/S1085337596000176

Stability of coupled systems

Farid Ammar Khodja,1 Assia Benabdallah,1 and Djamel Teniou2

1Laboratoire de Calcul Scientifique, Groupe Matériaux Intelligents, URA C.N.R.S. 741, 16, Route de Gray, Besançon Cedex 25030, France
2Institut de Math ematiques, U.S.T.H.B.- B.P. 32, 16110, Algeria

Received 30 April 1996

Copyright © 1996 Farid Ammar Khodja et al. 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.

Abstract

The exponential and asymptotic stability are studied for certain coupled systems involving unbounded linear operators and linear infinitesimal semigroup generators. Examples demonstrating the theory are also given from the field of partial differential equations.