Asymptotic stability for impulsive functional differential equations

LUO Zhi-Guo;LUO Yan

doi:10.1007/s10483-009-1011-z

Applied Mathematics and Mechanics >

2009 , Vol. 30 >Issue 10: 1317 - 1324

DOI: https://doi.org/10.1007/s10483-009-1011-z

Articles

Asymptotic stability for impulsive functional differential equations

Expand

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

Received date: 2009-01-21

Revised date: 2009-06-29

Online published: 2009-10-01

Fold

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

Cite this article

LUO Zhi-Guo;LUO Yan . Asymptotic stability for impulsive functional differential equations[J]. Applied Mathematics and Mechanics, 2009 , 30(10) : 1317 -1324 . DOI: 10.1007/s10483-009-1011-z

Options

Outlines

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals

模态框（Modal）标题

Abstract

Cite this article