TITLE:
On the Stability of Solutions of Nonlinear Functional Differential Equation of the Fifth-Order
AUTHORS:
A. M. A. Abou-El-Ela, A. I. Sadek, A. M. Mahmoud, R. O. A. Taie
KEYWORDS:
Global Asymptotic Stability, Lyapunov Functional, Fifth-Order Delay Differential Equations
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.8,
August
15,
2014
ABSTRACT: The main purpose of this paper is to investigate global asymptotic
stability of the zero solution of the fifth-order nonlinear delay differential
equation on the following form
By constructing a Lyapunov functional, sufficient conditions for the
stability of the zero solution of this equation are established.