Periodic Solutions of a Class of Second Order Neutral Differential Equations with Multiple Different Delays

Abstract

The present work mainly probes into the existence and uniqueness of periodic solutions for a class of second-order neutral differential equations with multiple delays. Our approach is based on using Banach and Krasnoselskii’s fixed point theorems as well as the Green’s function method. Besides, two examples are exhibited to validate the effectiveness of our findings which complement and extend some relevant ones in the literature.