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

Erdur S., Tunç C.

Computational Methods for Differential Equations, cilt.11, sa.2, ss.319-331, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.22034/cmde.2022.50862.2112
  • Dergi Adı: Computational Methods for Differential Equations
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.319-331
  • Anahtar Kelimeler: Delay, Differential equation, Existence, LKF, Periodic solutions, Third order
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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-Krasovskiı̌ 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.