New comparison principle with Razumikhin condition forimpulsive infinite delay differential systems

Xiaowei Tang; Xilin Fu

doi:10.3934/proc.2009.2009.739

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2009, Volume 2009: 739-743. Doi: 10.3934/proc.2009.2009.739 open access

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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.

Received: June 30, 2008

Revised: June 30, 2009

Published: August 2009

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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.

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