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On the existence of periodic solutions of third order delay differential equations | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 03 تیر 1401 اصل مقاله (1.03 MB) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2022.50862.2112 | ||
| نویسندگان | ||
Sultan Erdur1؛ Cemil Tunc   2
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| 1Department of Mathematics Faculty of Sciences Gaziantep University Gaziantep– Turkey | ||
| 2Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, Van, TURKEY | ||
| چکیده | ||
| This work deals with 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-Krasovskiĭ 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 applicability of the main result of this paper. | ||
| کلیدواژه‌ها | ||
| Existence؛ periodic solutions؛ delay differential equation؛ third order؛ Lyapunov-Krasovskiĭ functional | ||
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آمار تعداد مشاهده مقاله: 21 تعداد دریافت فایل اصل مقاله: 67 |
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