## International Journal of Differential Equations

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

#### Abstract

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: ${X}^{(4)}+F(\stackrel{˙}{X},\stackrel{¨}{X})\stackrel{⃛}{X}+\mathrm{\Phi }(\stackrel{¨}{X})+G(\stackrel{˙}{X}(t-r))+H(X(t-r))=0.$ By constructing a Lyapunov functional, we obtained the result of stability.

#### Article information

Source
Int. J. Differ. Equ., Volume 2015 (2015), Article ID 618359, 11 pages.

Dates
Revised: 11 February 2015
Accepted: 13 February 2015
First available in Project Euclid: 20 January 2017

https://projecteuclid.org/euclid.ijde/1484881430

Digital Object Identifier
doi:10.1155/2015/618359

Mathematical Reviews number (MathSciNet)
MR3335444

Zentralblatt MATH identifier
1326.34113

#### Citation

Abou-El-Ela, A. M. A.; Sadek, A. I.; Mahmoud, A. M.; Taie, R. O. A. A Stability Result for the Solutions of a Certain System of Fourth-Order Delay Differential Equation. Int. J. Differ. Equ. 2015 (2015), Article ID 618359, 11 pages. doi:10.1155/2015/618359. https://projecteuclid.org/euclid.ijde/1484881430

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