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

Joint Authors

Abou-El-Ela, A. M. A.
Sadek, A. I.
Mahmoud, A. M.
Taie, R. O. A.

Source

International Journal of Differential Equations

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-04-02

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Abou-El-Ela, A. M. A.& Sadek, A. I.& Mahmoud, A. M.& Taie, R. O. A.. 2015. A Stability Result for the Solutions of a Certain System of Fourth-Order Delay Differential Equation. International Journal of Differential Equations،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1065514

Modern Language Association (MLA)

Abou-El-Ela, A. M. A.…[et al.]. A Stability Result for the Solutions of a Certain System of Fourth-Order Delay Differential Equation. International Journal of Differential Equations No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1065514

American Medical Association (AMA)

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. International Journal of Differential Equations. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1065514

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1065514