New Qualitative Outcomes for Ordinary Differential Systems of Second Order


Gözen M.

Contemporary Mathematics (Singapore), vol.5, no.1, 2024 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.37256/cm.5120243045
  • Journal Name: Contemporary Mathematics (Singapore)
  • Journal Indexes: Scopus
  • Keywords: differential system, integrability, second order, stability boundedness, the second method of Lyapunov
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

This paper deals with a nonlinear ordinary differential system of second order. In the paper, qualitative properties of solutions of the system called asymptotic stability (AS), uniform stability (US), boundedness, ultimately boundedness (UB) and integrability of solutions, are investigated by using the second method of Lyapunov. We give four new qualitative results and an example as a numerical application of the results. The results of this article extend and improves some earlier ones in the literature.