  The almost sure rate of exponential-polynomial growth or decay of affine
stochastic Volterra and affine stochastic finite-delay equations is
investigated. These results are achieved under suitable smallness conditions on
the intensities of the deterministic and stochastic perturbations diffusion,
given that the asymptotic behaviour of the underlying deterministic resolvent
is determined by the zeros of its characteristic equation. The results rely
heavily upon a stochastic variant of the admissibility theory for linear
Volterra operators.
