KHEMIS ,RBOUAKKAZ , ACHOUAF , S2025-07-162025-07-162023http://dspace.univ-skikda.dz:4000/handle/123456789/4984In this work, we consider a class of second order iterative di erential equations. Using Schauder's xed point theorem and the Green's functions method, the existence of periodic solutions is proved after establishing the equivalence of our problem with a certain integral equation. Finally, we end this article with a simple conclusion recapitulating the guiding idea of our approach. Obtained ndings complement some previous publications in the literature.enTHE EXISTENCE OF PERIODIC SOLUTIONS OF A SECOND ORDER ITERATIVE DIFFERENTIAL EQUATIONArticle