Tohoku Mathematical Journal
2000
March
SECOND SERIES VOL. 52, NO. 1

Tohoku Math. J.
52 (2000), 47-59

Title PERIODIC SOLUTIONS OF CONVEX NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Author Meng Fan and Ke Wang

(Received June 1, 1998, revised September 28, 1998)
Abstract. In this paper we consider the existence of periodic solutions of neutral functional differential equations. It has been proved that for convex neutral functional differential equations of $D$-operator type with finite (or infinite) delay and hyperneutral functional differential equations with finite delay, there is a periodic solution if and only if there is a bounded solution. The results proved by Massera, Chow and Makay are generalized.

1991 Mathematics Subject Classification. Primary 34K40; Secondary 34K15, 34C25.
Key words and phrases. convex neutral functional differential equation, bounded solution, periodic solution, necessary and sufficient condition.

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