title: A numerical C/sup 1/-shadowing result for retarded functional differential equations
abstract: This paper gives a numerical C/sup 1/-shadowing between the exact solutions of a functional differential equation and its numerical approximations. The shadowing result is obtained by comparing exact solutions with numerical approximation which do not share the same initial value. Behavior of stable manifolds of functional differential equations under numerics will follow from the shadowing result
keyphrases: numerical C/sup 1/-shadowing retarded functional differential equations exact solutions numerical approximations stable manifolds