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

Pages: 739 - 743, Issue Special, September 2009

 Abstract        Full Text (106.6K)              

Xiaowei Tang - School of Mathematical Science, Shandong Normal University, Jinan, Shandong 250014, P.R., China (email)
Xilin Fu - School of Mathematical Science, Shandong Normal University, Jinan, Shandong 250014, P.R., China (email)

Abstract: 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:  stability theory, impulsive functional differential equation, Lyapunov function,Razumikhin condition
Mathematics Subject Classification:  Primary: 58F15, 58F17; Secondary: 53C35

Received: July 2008;      Revised: July 2009;      Published: September 2009.