On the existence of periodic solutions of third order delay differential equations
Publish Year: 1402
Type: Journal paper
Language: English
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Document National Code:
JR_CMDE-11-2_009
Index date: 17 April 2023
On the existence of periodic solutions of third order delay differential equations 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.
On the existence of periodic solutions of third order delay differential equations Keywords:
On the existence of periodic solutions of third order delay differential equations authors
Sultan Erdur
Department of Mathematics Faculty of Arts and Sciences Gaziantep University ۲۷۳۱۰, Gaziantep, Turkey.
Cemil Tunc
Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, ۶۵۰۸۰, VAN, Turkey.
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