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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.

MSC:

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

Citations:

Zbl 0977.34056
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