
Summary: We give characterizations for uniform exponential stability and uniform exponential instability of linear skew-product flows in terms of Banach sequence spaces and Banach function spaces, respectively. We present a unified approach for uniform exponential stability and uniform exponential instability of linear skew-product flows, extending some stability theorems due to \textit{Neerven, Datko, Zabczyk} and \textit{Rolewicz}.
uniform exponential stability, linear skew-product flow, uniform exponential instability, Asymptotic expansions of solutions to ordinary differential equations, Asymptotic properties of solutions to ordinary differential equations
uniform exponential stability, linear skew-product flow, uniform exponential instability, Asymptotic expansions of solutions to ordinary differential equations, Asymptotic properties of solutions to ordinary differential equations
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