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Strong and polynomial stability for delay semigroups

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Abstract

In this paper, we study strong and polynomial stability of the delay semigroup associated with abstract delay differential equations. We also obtain new perturbation results for strong and polynomial stability of \(C_0\)-semigroups.

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Acknowledgements

The authors would like to express their gratitude to the referee for the many helpful comments and valuable suggestions.

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Authors and Affiliations

  1. Department of Mathematics, University of Delhi, Delhi, 110007, India

    Shard Rastogi

  2. Department of Mathematics, University of Delhi, South Campus, Benito Juarez Road, New Delhi, 110021, India

    Sachi Srivastava

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  1. Shard Rastogi
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  2. Sachi Srivastava
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Correspondence to Sachi Srivastava.

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Rastogi, S., Srivastava, S. Strong and polynomial stability for delay semigroups. J. Evol. Equ. 21, 441–472 (2021). https://doi.org/10.1007/s00028-020-00588-9

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  • DOI: https://doi.org/10.1007/s00028-020-00588-9

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