On the qualitative analyses of nonlinear delay differential equations of third order

Erdur S., Tunç C.

Mathematics in Engineering, Science and Aerospace, cilt.13, sa.4, ss.909-918, 2022 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 4
  • Basım Tarihi: 2022
  • Dergi Adı: Mathematics in Engineering, Science and Aerospace
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.909-918
  • Anahtar Kelimeler: Boundedness, Delay, Differential equation, Existence, Lkf, Periodic solutions, Stability, Third order
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

© CSP - Cambridge, UK; I&S - Florida, USA, 2022The authors of this paper examine uniformly asymptotically stability (UAS), uniformly boundedness (UB), ultimately uniformly boundedness (UUB) and existence of periodic solutions (EPSs) of certain nonlinear delay differential equations (DDEs) of third order with multiple constant delays. They prove two results and give a corollary on these properties of solutions. The main results of this paper have sufficient conditions and the technique of the proofs for these results is based on construction of a proper Lyapunov-Krasovskiǐ function (LKF). This paper has novel results to the theory of DDEs of third order and fills some gaps related to the mentioned concepts.