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Persistent impulsive effects on stability of functional differential equations with finite or infinite delay.

Authors :
Li, Xiaodi
Shen, Jianhua
Rakkiyappan, R.
Source :
Applied Mathematics & Computation. Jul2018, Vol. 329, p14-22. 9p.
Publication Year :
2018

Abstract

In this paper, the stability problem of impulsive functional differential equations (IFDEs) is considered. Several criteria ensuring the uniform stability of IFDEs with finite or infinite delay are derived by establishing some new Razumikhin conditions. Different with the current existing ones, our development results can be applied to delay systems with persistent impulsive effects. Finally, an example and its computer simulation is given to show the effectiveness and advantages of the proposed method. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00963003
Volume :
329
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
128416165
Full Text :
https://doi.org/10.1016/j.amc.2018.01.036