Existence of periodic solutions of a scalar functional differential equation via a fixed point theorem

This paper is devoted to studying some new existence theorems for single and multiple positive periodic solutions to a scalar functional differential equation by combining some properties of Green's function together with a well-known nonzero fixed point theorem in cones. It improves and generalizes some related results in the literature. Finally, several examples and numerical simulations are given to dwell on the effectiveness of our results.

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