Stability for a Class of Differential Equations with Nonconstant Delay. (3rd April 2013)

• Record Type: Journal Article
• Authors: Liang, Jin; Lu, Tzon-Tzer; Xu, Yashan
• Other Names: Liu James H. Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2013(2013)
• Publication Date: 2013-04-03
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2013/159435
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : Stability is investigated for the following differential equations with nonconstant delay x ' t = q t F x t - p t f x t - τ t, where p : [ 0, + ∞ ) → [ 0, + ∞ ), q : [ 0, + ∞ ) → R, τ : [ 0, + ∞ ) → [ 0, r ], and F and f : R → R with x f x > 0 for x ≠ 0 and x ≤ a (a is a positive constant) are continuous functions. A criterion is given for the zero solution of this delay equation being uniformly stable and asymptotically stable.