On the existence of periodic solutions of functional differential equations

Abstract

The existence of periodic solutions is always one of the topics of great interest in differential equation theory. This paper deals with the existence of periodic solutions of the functional differential equations with bounded delay. We adopt conventional notations and terminologies such as used in [1], [2], [3"1 and [4]. However, for convenience, we mention some of them in the following: (i) R and R + denote intervals ( cr + oo) and [0, + c~) respectively. (ii) Cdenotes the Banach space of all the continuous functions do(0): [ h, 0] --* R" with the