Advances in Dynamical Systems and Applications

We associate with a linear skewproduct flow π = (Φ,σ) a variational integral equation and we characterize the exponential expansiveness of π in terms of the solvability of the associated equation. We prove that a linear skewproduct flow on X×θ is uniformly exponentially expansive if and only if the pair (V(ℝ₊,X),C_c(ℝ₊,X)) is uniformly exactly admissible for π, where V(ℝ₊,X) denotes one of the spaces C₀(ℝ₊,X) or C_b(ℝ₊,X).