New Qualitative Outcomes for Ordinary Differential Systems of Second Order

Gözen M.

Contemporary Mathematics (Singapore), cilt.5, sa.1, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.37256/cm.5120243045
  • Dergi Adı: Contemporary Mathematics (Singapore)
  • Derginin Tarandığı İndeksler: Scopus
  • Anahtar Kelimeler: differential system, integrability, second order, stability boundedness, the second method of Lyapunov
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.