Asymptotic Stability for Impulsive Functional Differential Equations

LUO Zhi-guo; LUO Yan

doi:10.3879/j.issn.1000-0887.2009.10.011

Volume 30 Issue 10

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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

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

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Asymptotic Stability for Impulsive Functional Differential Equations

doi: 10.3879/j.issn.1000-0887.2009.10.011

Department of Mathematics, Hunan Normal University, Changsha 410081, P. R. China

Received Date: 2009-01-21
Rev Recd Date: 2009-08-18
Publish Date: 2009-10-15

Abstract

Abstract

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.
- stability,
- mipulsive functional differential equation,
- Liapunov functional,
- Jensencs inequality

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References(17)

References

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