TITLE:
Stability and Boundedness of Solutions of Certain Non-Autonomous Third Order Nonlinear Differential Equations
AUTHORS:
Akinwale L. Olutimo, Folashade O. Akinwole
KEYWORDS:
Nonlinear Differential Equations, Third Order, Asymptotic Stability, Boundedness, Lyapunov Method
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.1,
January
27,
2016
ABSTRACT: In this paper, by defining an appropriate Lyapunov functional, we obtain sufficient conditions for which all solutions of certain real non-autonomous third order nonlinear differential equations are asymptotically stable and bounded. The results obtained improve and extend some known results in the literature.