We give conditions on a strongly continuous semigroup F and an unbounded perturbation B in the class of Miyadera-Voigt such that the perturbed semigroup. S inherits asymptotic properties of F 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.
On the stability of asymptotic properties of perturbed C0-semigroups
CASARINO, VALENTINA;
2001
Abstract
We give conditions on a strongly continuous semigroup F and an unbounded perturbation B in the class of Miyadera-Voigt such that the perturbed semigroup. S inherits asymptotic properties of F 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.
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