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Stability of sets for impulsive functional differential equations via Razumikhin method.

Authors :
Xie, Shenglan
Shen, Jianhua
Source :
Journal of Mathematical Sciences; Sep2011, Vol. 177 Issue 3, p474-486, 13p
Publication Year :
2011

Abstract

In this paper, we consider the functional differential equation with impulsive perturbationsCriteria on uniform asymptotic stability of sets are established for the above system using Lyapunov functions and the Razumikhin technique. Some examples are also discussed to illustrate the theorems. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10723374
Volume :
177
Issue :
3
Database :
Complementary Index
Journal :
Journal of Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
64588450
Full Text :
https://doi.org/10.1007/s10958-011-0473-9