Functional-differential equations with unbounded delay in a banach space

REFERENCE [l] contains an extensive survey of work in the area of equations with unbounded delay. A short history is included along with discussions of applications of such equations, recent theoretical results, important outstanding problems and a large bibliography. An attempt has been made in this paper to make the notation consistent with the notation used in [l]. Let B denote a Banach space, and let T be a fixed positive number. This paper deals with functional-differential equations with unbounded delay of the form :