Uniform-ultimate boundedness of solutions to vector lienard equation with delay

Adeyanju A. A., Tunç C.

Annali dell'Universita di Ferrara, cilt.69, sa.2, ss.605-614, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 69 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s11565-022-00454-1
  • Dergi Adı: Annali dell'Universita di Ferrara
  • Derginin Tarandığı İndeksler: Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.605-614
  • Anahtar Kelimeler: Boundedness, Lypunov–Krasovskii functional, Second order
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

© 2022, The Author(s) under exclusive license to Università degli Studi di Ferrara.We establish a set of conditions for the uniform-ultimate boundedness of solutions to a certain system of second order differential equations with variable delay using Lypunov–Krasovskii functional as a basic tool. This result is an addition to the body of literature in many ways. In addition, we provide an example to demonstrate the correctness of our result.