Title of article
Exponential stability for impulsive delay differential equations by Razumikhin method ✩
Author/Authors
Qing Wang، نويسنده , , Xinzhi Liu ?، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2005
Pages
12
From page
462
To page
473
Abstract
In this paper, we study exponential stability for impulsive delay differential equation of the form
˙x(t) = f (t,xt ), t = tk,
Δx(t) = Ik(t, xt−), t = tk, k ∈ N.
By employing the Razumikhin technique and Lyapunov functions, several exponential stability criteria
are established. Some examples are also discussed to illustrate our results.
2004 Elsevier Inc. All rights reserved.
Keywords
Razumikhin technique , Lyapunov function , exponentialstability , Impulsive delay differential equation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2005
Journal title
Journal of Mathematical Analysis and Applications
Record number
934043
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