Erdur, SultanTunc, Cemil2025-05-102025-05-1020232345-39822383-253310.22034/cmde.2022.50862.21122-s2.0-85160415635https://doi.org/10.22034/cmde.2022.50862.2112https://hdl.handle.net/20.500.14720/10107This work deals with the existence of periodic solutions (EPSs) to a third order nonlinear delay differential equation (DDE) with multiple constant delays. For the considered DDE, a theorem is proved, which includes sufficient criteria related to the EPSs. The technique of the proof depends on Lyapunov-Krasovskii ˇ functional (LKF) approach. The obtained result extends and improves some results that can be found in the literature. In a particular case of the considered DDE, an example is provided to show the applicability of the main result of this paper.eninfo:eu-repo/semantics/closedAccessExistencePeriodic SolutionsDifferential EquationThird OrderDelayLkfArticle112N/AQ2319331WOS:001012633100008