@article { author = {Erdur, Sultan and Tunc, Cemil}, title = {On the existence of periodic solutions of third order delay differential equations}, journal = {Computational Methods for Differential Equations}, volume = {11}, number = {2}, pages = {319-331}, year = {2023}, publisher = {University of Tabriz}, issn = {2345-3982}, eissn = {2383-2533}, doi = {10.22034/cmde.2022.50862.2112}, abstract = {This 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-Krasovskiˇı 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. }, keywords = {existence,periodic solutions,Differential equation,third order,delay,LKF}, url = {https://cmde.tabrizu.ac.ir/article_14812.html}, eprint = {https://cmde.tabrizu.ac.ir/article_14812_9e2b9c80de0789b9a6684fd07c6fbe7e.pdf} }