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

Document Type : Research Paper

Authors

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.

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

References

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Computational Methods for Differential Equations
Volume 11, Issue 2
April 2023
Pages 319-331

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History

  • Receive Date: 20 March 2022
  • Revise Date: 13 May 2022
  • Accept Date: 19 June 2022

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