An extension of some theorems of L. Barreira and C. Valls for the nonuniform exponential dichotomous evolution operators
This paper extends some recent results by \textit{L. Barreira} and \textit{C. Valls} in [J. Differ. Equations 249, No. 11, 2889--2904 (2010; Zbl 1228.34090)] on nonuniform exponential stability to nonuniform exponential dichotomy. The main result gives a sufficient condition for the nonuniform exponential dichotomy for a strongly continuous evolution family in terms of the admissibility of two function spaces.
scientific article; zbMATH DE number 6009619
scientific article