Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (10): 1317-1324.doi: https://doi.org/10.1007/s10483-009-1011-z

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Asymptotic stability for impulsive functional differential equations

 LUO Zhi-Guo, LUO Yan   

  1. Department of Mathematics, Hunan Normal University, Changsha 410081, P. R. China  
  • Received:2009-01-21 Revised:2009-06-29 Online:2009-10-01 Published:2009-10-01

Abstract: In this paper, we investigate the stability of a class of impulsive functional differential equations by using Lyapunov functional and Jensen’s inequality. Some new stability theorems are obtained. Examples are given to demonstrate the advantage of the obtained results.

Key words: stability, impulsive functional differential equation, Lyapunov functional, Jensen’s inequality

2010 MSC Number: 

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