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Title of Journal: J Evol Equ

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Abbravation: Journal of Evolution Equations

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Springer Basel

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1424-3202

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Exponential stability of abstract evolution equati

Authors: Serge Nicaise Cristina Pignotti
Publish Date: 2014/10/14
Volume: 15, Issue: 1, Pages: 107-129
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Abstract

We consider abstract semilinear evolution equations with a timedelay feedback We show that if the C 0semigroup describing the linear part of the model is exponentially stable then the whole system retains this good property when a suitable smallness condition on the timedelay feedback is satisfied Some examples illustrating our abstract approach are also given


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