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

Autor: A. M. A. Abou-El-Ela, A. I. Sadek, A. M. Mahmoud, R. O. A. Taie
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: International Journal of Differential Equations, Vol 2015 (2015)
Druh dokumentu: article
ISSN: 1687-9643
1687-9651
DOI: 10.1155/2015/618359
Popis: 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 result of stability.
Databáze: Directory of Open Access Journals