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 İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 45
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1007/s11071-006-1437-3
  • Dergi Adı: NONLINEAR DYNAMICS
  • Sayfa Sayıları: ss.273-281

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.