Resumen de Existence of periodic or nonnegative periodic solutions for totally nonlinear neutral differential equations with infinite delay

Abderrahim Guerfi, Abdelouaheb Ardjouni

• In this work, we investigate the existence of periodic or nonnegative periodic solutions for a totally nonlinear neutral differential equation with infinite delay. In the process, we convert the given neutral differential equation into an equivalent integral equation. Then, we employ Krasnoselskiǐ-Burton’s fixed point theorem to prove the existence of periodic or nonnegative periodic solutions. Two examples are provided to illustrate the obtained results.