Arik, Irem AkbulutTunc, Cemil2024-12-242024-12-2420222217-3412https://doi.org/10.54379/JMA-2022-5-4https://hdl.handle.net/20.500.12604/7881In the present article, we study existence of periodic solutions (EPSs) of a nonlinear neutral integro- differential equation (NIDE) with multiple variable delays using Krasnoselskiis fixed point theorem. Transforming the considered NIDE to an equivalent integral equation, we prove the EPSs using a fixed point mapping, which is defined as a sum of a contraction and a compact map. The result of this paper has contributions to the topic of the EPSs of NIDEs.eninfo:eu-repo/semantics/closedAccessNeutral integro-differential equationexistence of periodic solutionsKrasnoselskiis fixed point theoremcontracting mappingArticle1353548N/AWOS:000879099600004Q22-s2.0-8515956878210.54379/JMA-2022-5-4