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arXiv · 2206.05996

Generalized evolution semigroups and general dichotomies

Nicolae Lupa·Liviu Horia Popescu
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Abstract

We introduce a special class of real semiflows, which is used to define a general type of evolution semigroups, associated to not necessarily exponentially bounded evolution families. Giving spectral characterizations of the corresponding generators, our results directly apply to a wide class of dichotomies, such as those with time-varying rate of change.

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Nicolae Lupa, Liviu Horia Popescu. 2022-06-13. Generalized evolution semigroups and general dichotomies. https://doi.org/10.1007/s00025-023-01896-5

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