International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 26, Pages 1645-1661
doi:10.1155/S0161171203206098

The Kneser property for abstract retarded functional differential equations with infinite delay

Abstract

We establish existence of mild solutions for a class of semilinear first-order abstract retarded functional differential equations (ARFDEs) with infinite delay and we prove that the set consisting of mild solutions for this problem is connected in the space of continuous functions.