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Asymptotic behavior of impulsive stochastic functional differential equations.

Authors :
Xu, Li
He, Dan
Source :
Acta Mathematica Sinica. Jun2014, Vol. 30 Issue 6, p1061-1072. 12p.
Publication Year :
2014

Abstract

In this paper, a nonlinear and nonautonomous impulsive stochastic functional differential equation is considered. By establishing a nonautonomous L-operator impulsive delay inequality and using the properties of ρ-cone and stochastic analysis technique, we obtain the p-attracting set and p-invariant set of the impulsive stochastic functional differential equation. An example is also discussed to illustrate the efficiency of the obtained results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14398516
Volume :
30
Issue :
6
Database :
Academic Search Index
Journal :
Acta Mathematica Sinica
Publication Type :
Academic Journal
Accession number :
95877169
Full Text :
https://doi.org/10.1007/s10114-014-1099-x