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

Adeyanju A. A., Tunç C.

Annali dell'Universita di Ferrara, vol.69, no.2, pp.605-614, 2023 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 69 Issue: 2
  • Publication Date: 2023
  • Doi Number: 10.1007/s11565-022-00454-1
  • Journal Name: Annali dell'Universita di Ferrara
  • Journal Indexes: Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.605-614
  • Keywords: Boundedness, Lypunov–Krasovskii functional, Second order
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

© 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.