Title | ||
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Stability analysis of a class of stochastic differential delay equations with nonlinear impulsive effects |
Abstract | ||
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In this paper, we study stability of a class of stochastic differential delay equations with nonlinear impulsive effects. First, we establish the equivalent relation between the stability of this class of stochastic differential delay equations with impulsive effects and that of a corresponding stochastic differential delay equations without impulses. Then, some sufficient conditions ensuring various stabilities of the stochastic differential delay equations with impulsive effects are obtained. Finally, two examples are also discussed to illustrate the efficiency of the obtained results. |
Year | DOI | Venue |
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2010 | 10.1016/j.jfranklin.2010.04.017 | Journal of the Franklin Institute |
Keywords | Field | DocType |
Stability,Stochastic differential equations,Delay,Impulsive effects | Differential equation,Mathematical optimization,Nonlinear system,Stochastic stability,Control theory,Mathematical analysis,Stochastic differential equation,Differential algebraic equation,Distributed parameter system,Stochastic partial differential equation,Delay differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
347 | 7 | 0016-0032 |
Citations | PageRank | References |
41 | 2.06 | 11 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Chunxiang Li | 1 | 41 | 2.40 |
Jitao Sun | 2 | 752 | 66.95 |
Ruoyan Sun | 3 | 76 | 6.11 |