On uniform exponential stability for skew-evolution semiflows on Banach spaces

摘要

The aim of this paper is to give several characterizations for the property of stability for skew-evolution semiflows on Banach spaces. Thus, we obtain generalizations of some well known results due to Barbashin, Datko and Rolewicz in the case of evolution equations in Banach spaces. A unified treatment in the uniform setting is provided.