LUO Zhi-guo, LUO Yan. Asymptotic Stability for Impulsive Functional Differential Equations[J]. Applied Mathematics and Mechanics, 2009, 30(10): 1234-1242. doi: 10.3879/j.issn.1000-0887.2009.10.011
Citation: LUO Zhi-guo, LUO Yan. Asymptotic Stability for Impulsive Functional Differential Equations[J]. Applied Mathematics and Mechanics, 2009, 30(10): 1234-1242. doi: 10.3879/j.issn.1000-0887.2009.10.011

Asymptotic Stability for Impulsive Functional Differential Equations

doi: 10.3879/j.issn.1000-0887.2009.10.011
  • Received Date: 2009-01-21
  • Rev Recd Date: 2009-08-18
  • Publish Date: 2009-10-15
  • The stability for aclass of mipulsive functional differential equation was inve stigated. By improving the upper bound of Lia punovfunctional and based on the application of the Liapunov second method to gether with Liapunov functional and Jensencs the inequality, auniformly stability theorem and auniformly asymptotically stability theorems are obtained. Examples are also given to demonstrate the a dvantage of our results.
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