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  • 标题:On the averaging principle for SDEs driven by G-Brownian motion with non-Lipschitz coefficients
  • 本地全文:下载
  • 作者:Wei Mao ; Bo Chen ; Surong You
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2021
  • 卷号:2021
  • 期号:1
  • 页码:1
  • DOI:10.1186/s13662-021-03233-y
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we aim to develop the averaging principle for stochastic differential equations driven by G-Brownian motion (G-SDEs for short) with non-Lipschitz coefficients. By the properties of G-Brownian motion and stochastic inequality, we prove that the solution of the averaged G-SDEs converges to that of the standard one in the mean-square sense and also in capacity. Finally, two examples are presented to illustrate our theory.
  • 关键词:Averaging principle ; Stochastic differential equations ; Mean-square convergence ; G-Brownian motion
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