Theorems of Perron type for uniform exponential dichotomy of linear skew-product semiflows. (English) Zbl 1045.34022

The authors extend some results of the reviewer, F. Räbiger and R. Schnaubelt in [Integral Equations Oper. Theory 32, No. 3 , 332–353 (1998; Zbl 0977.34056)] to linear skew-product semiflows by establishing a connection between the uniform exponential dichotomy of these flows and uniform admissibility of several function spaces.


34D09 Dichotomy, trichotomy of solutions to ordinary differential equations
34G10 Linear differential equations in abstract spaces


Zbl 0977.34056