Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

New Results on the Stability and Boundedness of Solutions of Certain Third Order Nonlinear vector differential equations

Author(s):

Mathew Omeike

Department of Mathematics,
University of Agriculture,
Abeokuta, Nigeria.

moomeike@yahoo.com

Abstract:

We investigate in this paper, the asymptotic stability of the zero solution and boundedness of all solutions of a certain third order nonlinear ordinary vector differential equation. Our results revise and improve those results obtained by Tunc and Ates [Tunc C., Ates, M., Stability and boundedness results for solutions of certain third order nonlinear vector differential equations, Nonlinear Dynamics 45 (2006); 273-281].

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