Some Concepts of Uniform Exponential Dichotomy for Skew-Evolution Semiflows in Banach Spaces

Abstract

The exponential dichotomy is one of the most important asymptotic properties for the solutions of evolution
equations, studied in the last years from various perspectives. In this paper we study some concepts of uniform
exponential dichotomy for skew-evolution semiflows in Banach spaces. Several illustrative examples motivate the
approach.