ON PERTURBATION OF K-REGULARIZED RESOLVENT FAMILIES
ON PERTURBATION OF K-REGULARIZED RESOLVENT FAMILIES
In this paper we study additive perturbations of a linear Volterra integral equation defined in a Banach space $X$ by means of $k$-regularized resolvent families. We give also a representation formula for the generator of such family, under certain conditions on the scalar kernel $k(t)$.