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Stability Results for Second-Order Evolution Equations with Switching Time-Delay

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Abstract

We consider second-order evolution equations in an abstract setting with intermittently delayed/not-delayed damping. We give sufficient conditions for asymptotic and exponential stability, improving and generalizing our previous results from Nicaise and Pignotti (Adv Differ Equ 17:879–902, 2012). In particular, under suitable conditions, we can consider unbounded damping operators. Some concrete examples are finally presented.

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Authors and Affiliations

  1. Laboratoire de Mathématiques et leurs Applications, Institut des Sciences et Techniques de Valenciennes, Université de Valenciennes et du Hainaut Cambrésis, 59313 , Valenciennes Cedex 9, France

    Serge Nicaise

  2. Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica, Università di L’Aquila, Via Vetoio, Loc. Coppito, 67010 , L’Aquila, Italy

    Cristina Pignotti

Authors
  1. Serge Nicaise
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  2. Cristina Pignotti
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Correspondence to Serge Nicaise.

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Nicaise, S., Pignotti, C. Stability Results for Second-Order Evolution Equations with Switching Time-Delay. J Dyn Diff Equat 26, 781–803 (2014). https://doi.org/10.1007/s10884-014-9382-1

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  • DOI: https://doi.org/10.1007/s10884-014-9382-1

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