A Stability Result for the Solutions of a Certain System of Fourth-Order Delay Differential Equation. (2nd April 2015)

• Record Type: Journal Article
• Authors: Abou-El-Ela, A. M. A.; Sadek, A. I.; Mahmoud, A. M.; Taie, R. O. A.
• Other Names: Ganji Davood D. Academic Editor.
• Is Part Of: International journal of differential equations. Volume 2015(2015)
• Publication Date: 2015-04-02
• Subjects: Differential equations -- Periodicals; Differential equations; Periodicals; 515.35
• DOI: 10.1155/2015/618359
• Languages: English
• ISSNs: 1687-9643

Abstract

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 ( X ˙, X ¨ ) X ⃛ + Φ ( X ¨ ) + G ( X ˙ ( t - r ) ) + H ( X ( t - r ) ) = 0 . By constructing a Lyapunov functional, we obtained the result of stability.