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2009, 2009(Special): 739-743. doi: 10.3934/proc.2009.2009.739

New comparison principle with Razumikhin condition for impulsive infinite delay differential systems

Xiaowei Tang 1, and  Xilin Fu 1,

1. 

School of Mathematical Science, Shandong Normal University, Jinan, Shandong 250014, P.R., China

Received  July 2008 Revised  July 2009 Published  September 2009

In this paper, we will develop a comparison principle with Razumikhin condition relative to stability theory of impulsive functional differential system with infinite delay in terms of two different measures.
Keywords: Lyapunov function, impulsive functional differential equation, stability theory, Razumikhin condition.
Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.
Citation: Xiaowei Tang, Xilin Fu. New comparison principle with Razumikhin condition for impulsive infinite delay differential systems. Conference Publications, 2009, 2009 (Special) : 739-743. doi: 10.3934/proc.2009.2009.739
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