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Zbl 1203.34119
Peng, Shiguo; Yang, Liping
Global exponential stability of impulsive functional differential equations via Razumikhin technique. (English)
[J] Abstr. Appl. Anal. 2010, Article ID 987372, 11 p. (2010). ISSN 1085-3375; ISSN 1687-0409/e

This paper deals with some new Razumikhin-type results on global exponential stability of impulsive differential equations with any finite delays, which allow to develop an effective impulsive mechanism to a certain class of functional differential systems even if it may be unstable. Finally, two numerical examples are given to verify the effectiveness of the results above.
[Hong Zhang (Umeå)]

MSC 2000:: *34K20 Stability theory of functional-differential equations
34K25 Asymptotic theory of functional-differential equations
34K45 Equations with impulses

Keywords: impulsive functional differential equation; global exponential stability; Razumikhin technique

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