On the existence of periodic solutions of third order delay differential equations
نویسندگان
1 Department of Mathematics Faculty of Arts and Sciences Gaziantep University 27310, Gaziantep, Turkey.
2 Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, VAN, Turkey.
doi
10.22034/cmde.2022.50862.2112چکیده
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.
