P -attracting and p -invariant sets for a class of impulsive stochastic functional differential equations

P -attracting and p -invariant sets for a class of impulsive stochastic functional differential equations

In this paper, a nonlinear and nonautonomous impulsive stochastic functional differential equation is considered. By establishing an L -operator differential inequality and stochastic analysis technique, we obtain the p -attracting set and p -invariant set of the impulsive stochastic functional diff...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Computers & mathematics with applications (1987) 2009, Vol.57 (1), p.54-61
Hauptverfasser: Xu, Liguang, Xu, Daoyi
Format: Artikel
Sprache:eng
Schlagworte:
[formula omitted]-attracting set
[formula omitted]-invariant set
[formula omitted]-operator inequality
Differential equations
Impulsive
Inequalities
Mathematical models
Nonlinearity
Stochastic
Stochasticity
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, a nonlinear and nonautonomous impulsive stochastic functional differential equation is considered. By establishing an L -operator differential inequality 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.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2008.09.027