Asymptotic stability of a class of impulsive delay differential equations

G. L. Zhang; M. H. Song; M. Z. Liu

doi:10.1155/2012/723893

Asymptotic stability of a class of impulsive delay differential equations

G. L. Zhang
, M. H. Song^*
, M. Z. Liu

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

This paper is concerned with a class of linear impulsive delay differential equations. Asymptotic stability of analytic solutions of this kind of equations is studied by the property of delay differential equations without impulsive perturbations. New numerical methods for this kind of equations are constructed. The convergence and asymptotic stability of the methods for this kind of equations are studied.

Original language	English
Article number	723893
Journal	Journal of Applied Mathematics
Volume	2012
DOIs	https://doi.org/10.1155/2012/723893
State	Published - 2012

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abstract = "This paper is concerned with a class of linear impulsive delay differential equations. Asymptotic stability of analytic solutions of this kind of equations is studied by the property of delay differential equations without impulsive perturbations. New numerical methods for this kind of equations are constructed. The convergence and asymptotic stability of the methods for this kind of equations are studied.",

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AB - This paper is concerned with a class of linear impulsive delay differential equations. Asymptotic stability of analytic solutions of this kind of equations is studied by the property of delay differential equations without impulsive perturbations. New numerical methods for this kind of equations are constructed. The convergence and asymptotic stability of the methods for this kind of equations are studied.

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DO - 10.1155/2012/723893

M3 - 文章

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SN - 1110-757X

VL - 2012

JO - Journal of Applied Mathematics

JF - Journal of Applied Mathematics

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Asymptotic stability of a class of impulsive delay differential equations

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