Abstract Volterra equations in locally convex spaces

Abstract

A general class of (a, k)-regularized C-resolvent families is one of efficient research tools for dealing with non-degenerate abstract Volterra equations of scalar type. The main purpose of this expository paper is to provide a detailed analysis of the above class in sequentially complete locally convex spaces. © 2012 Science China Press and Springer-Verlag Berlin Heidelberg.