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Abstract. H. L. Smith and H. R. Thieme showed that if a scalar retarded functional differential equation generates a strongly order preserving semiflow with respect to the exponential ordering, then there are certain similarities between the behavior of the solutions of the functional differential equation and the ordinary differential equation obtained by ignoring the delays. In this paper we present further results of this type concerning the boundedness of the solutions and the local and global stability of equilibria.
AMS Subject Classification
(1991): 34K12, 34K20, 34K25
Received June 26, 2003. (Registered under 2921/2009.)
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