Attracting and quasi-invariant sets for a class of impulsive stochastic difference equations. (English) Zbl 1267.39014
Summary: The aim of this article is to study the attracting and quasi-invariant sets for a class of impulsive stochastic difference equations. By establishing a difference inequality, we obtain the attracting and quasi-invariant sets of systems under consideration. An example is given to illustrate the theory.
MSC:
| 39A50 | Stochastic difference equations |
| 39A30 | Stability theory for difference equations |
| 37H10 | Generation, random and stochastic difference and differential equations |
Keywords:
attracting set; quasi-invariant set; impulsive, stochastic difference equations; difference inequality; Halanay inequalityReferences:
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