| Issue |
ESAIM: COCV
Volume 16, Number 2, April-June 2010
|
|
|---|---|---|
| Page(s) | 420 - 456 | |
| DOI | https://doi.org/10.1051/cocv/2009007 | |
| Published online | 21 April 2009 | |
Stabilization of second order evolution equations with unbounded feedback with delay
Université de Valenciennes et du Hainaut Cambrésis,
LAMAV, FR CNRS 2956, Institut des Sciences et Techniques of Valenciennes,
59313 Valenciennes Cedex 9, France. Serge.Nicaise@univ-valenciennes.fr; Julie.Valein@univ-valenciennes.fr
Received:
16
April
2008
Revised:
19
September
2008
Revised:
1
December
2008
We consider abstract second order evolution equations with unbounded feedback with delay. Existence results are obtained under some realistic assumptions. Sufficient and explicit conditions are derived that guarantee the exponential or polynomial stability. Some new examples that enter into our abstract framework are presented.
Mathematics Subject Classification: 93D15 / 93C20
Key words: Second order evolution equations / wave equations / delay / stabilization functional
© EDP Sciences, SMAI, 2009
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