Stability and boundedness results for solutions of certain third order nonlinear vector differential equations

Tunc C., Ates M.

NONLINEAR DYNAMICS, cilt.45, ss.273-281, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1007/s11071-006-1437-3
  • Dergi Adı: NONLINEAR DYNAMICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.273-281
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, we investigate the asymptotic stability of the zero solution and boundedness of all solutions of a certain third order nonlinear ordinary vector differential equation. The results are proved using Lyapunov's second (or direct method). Our results include and improve some well known results existing in the literature.