Abstract
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 $k(t)$.
Citation
Carlos Lizama. Justino S ´anchez. "ON PERTURBATION OF K-REGULARIZED RESOLVENT FAMILIES." Taiwanese J. Math. 7 (2) 217 - 227, 2003. https://doi.org/10.11650/twjm/1500575059
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