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POSITIVE PERIODIC SOLUTIONS FOR FIRST-ORDER NONLINEAR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH PERIODIC DELAY

Abstract. In this paper, we study the existence of positive periodic solutions of two classes for first-order nonlinear neutral functional differential equations with periodic delay. The main tool employed here is the Krasnoselskii’s hybrid fixed point theorem dealing with a sum of two mappings, one is a contraction and the other is compact. Two examples are included to illustrate our results. The results obtained here generalize the work [12].