On the existence of periodic solutions of third order delay differential equations

Erdur, Sultan; Tunc, Cemil

doi:10.22034/cmde.2022.50862.2112

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	On the existence of periodic solutions of third order delay differential equations
Computational Methods for Differential Equations
مقاله 9، دوره 11، شماره 2، تیر 2023، صفحه 319-331 اصل مقاله (304.94 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.50862.2112
نویسندگان
Sultan Erdur¹؛ Cemil Tunc ²
¹Department of Mathematics Faculty of Arts and Sciences Gaziantep University 27310, Gaziantep, Turkey.
²Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, VAN, Turkey.
چکیده
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.
کلیدواژه‌ها
Existence؛ Periodic solutions؛ Differential equation؛ Third order؛ Delay؛ LKF

مراجع
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On the existence of periodic solutions of third order delay differential equations