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We give conditions on a strongly continuous semigroup 𝒯 and an unbounded perturbation B in the class of Miyadera-Voigt such that the perturbed semigroup 𝒮 inherits asymptotic properties of 𝒯 as boundedness, asymptotic almost periodicity, uniform ergodicity and total uniform ergodicity. A systematic application of the abstract result to partial differential equations with delay is made.
Forum Mathematicum – de Gruyter
Published: Jan 1, 2001
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