Abstract and Applied Analysis 
Volume 4 (1999), Issue 2, Pages 127-139
doi:10.1155/S1085337599000123

Semilinear Volterra integrodifferential equations with nonlocal initial conditions

Sergiu Aizicovici1 and Mark Mckibben2

 1Department of Mathematics, Ohio University, Athens 45701, Ohio, USA
2Department of Mathematics andComputer Science, Goucher College, Towson 21204, Maryland, USA
Received 20 June 1999

Abstract

We establish the global existence of mild solutions to a class of nonlocal Cauchy problems associated with semilinear Volterra integrodifferential equations in a Banach space.