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A Note on the Asymptotic Stability of Wave-Type Equations with Switching Time-Delay

Abstract : We consider second-order evolution equations with intermittently delayed/not-delayed damping. We give sufficient conditions for asymptotic and exponential stability, completing our previous results from Nicaise and Pignotti [Adv. Diff. Eq., 17: 879–902, 2012; J. Dyn. Diff. Eq., 26: 781–803, 2014]. Moreover, some concrete models are described.
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Serge Nicaise, Cristina Pignotti. A Note on the Asymptotic Stability of Wave-Type Equations with Switching Time-Delay. Kais Ammari; Stephane Gerbi. Evolution Equations: Long Time Behavior and Control, Cambridge University Press, pp.137-150, 2017, 9781108412308. ⟨10.1017/9781108304023.007⟩. ⟨hal-03142598⟩

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