Individual Nonuniform Dichotomy and Admissibility for Linear Skew-Products Semiflows over a Semiflow

Abstract

The aim of this paper is to give a new characterization ofthe admissibility of the pair (L^1;L^{\infty}) to the case of linear skew-product semiflows over semiflows, which satisfy the following conditions: the cocycle \pi = (\Phi \sigma) has no exponential growth and K the constant from the "boundedness" theorem it depends on \theta \in \Theta , by using the "input-output"technique.