Abstract: In this talk, I will present results on linear retarded functional equations where the state $x(t)$ is a linear function of past history and the linear dependance is represented through a matrix-valued measure $\mu$. We will investigate conditions for which exponential stability is preserved under perturbations of \mu$. We will propose generalisation to the measure framework of the celebrated Hale-Silkowski criteria which holds for linear difference equations.This is joint work with F. Netto and G. Mazanti.
