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  • 标题:Stability of delayed impulsive stochastic differential equations driven by a fractional Brown motion with time-varying delay
  • 本地全文:下载
  • 作者:Xia Zhou ; Xinzhi Liu ; Shouming Zhong
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:328
  • DOI:10.1186/s13662-016-1018-9
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We study the stability problem of mild solutions of impulsive stochastic differential equations driven by a fractional Brown motion with finite time-varying delay. The Hurst parameter H of the fractional Brown motion belongs to ( 1 2 , 1 ) $( rac),,1)$ . In terms of fractional power of operators and semigroup theory, we obtain sufficient conditions that guarantee the stability of the mild solution of such a equation in two cases: the impulse depends on current states of the system and the impulse depends not only on current states but also on historical states of the system. We give two examples illustrating the theorems.
  • 关键词:fractional Brownian motion ; stability ; delayed impulse
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