| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8053410 | Applied Mathematics Letters | 2018 | 7 Pages |
Abstract
This paper is devoted to the investigation of the ultimate boundedness of impulsive stochastic delay differential equations. The pth moment global exponential ultimate boundedness criteria are obtained based on the Itô formula and the successful construction of suitable Lyapunov functionals, and the estimated exponential convergence rate and the ultimate bound are provided as well. It is shown that unbounded stochastic delay differential equations can be turned into bounded ones by impulses.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Liguang Xu, Zhenlei Dai, Danhua He,