Generalized evolution semigroups and general dichotomies

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.

References in corpus (2)

• Admissible Banach function spaces for linear dynamics with nonuniform behavior on the half-line
• A complete characterization of exponential stability for discrete dynamics

Cited by in corpus (1)

• Generalized dichotomies via time rescaling