A Stability Result for the Solutions of a Certain System of Fourth-Order Delay Differential Equation

The main purpose of this work is to give sufficient conditions for the uniform stability of the zero solution of a certain fourth-order vector delay differential equation of the following form: X(4)+F(X˙,X¨)X⃛+Φ(X¨)+G(X˙(t-r))+H(X(t-r))=0. By constructing a Lyapunov functional, we obtained the resul...

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Bibliographic Details
Main Authors: A. M. A. Abou-El-Ela, A. I. Sadek, A. M. Mahmoud, R. O. A. Taie
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2015/618359