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  • 标题:Feynman-Kac formula for switching diffusions: connections of systems of partial differential equations and stochastic differential equations
  • 本地全文:下载
  • 作者:Nicholas A Baran ; George Yin ; Chao Zhu
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2013
  • 卷号:2013
  • 期号:1
  • 页码:315
  • DOI:10.1186/1687-1847-2013-315
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This work develops Feynman-Kac formulae for switching diffusion processes. It first recalls the basic notion of a switching diffusion. Then the desired stochastic representations are obtained for boundary value problems, initial boundary value problems, and the initial value problems, respectively. Some examples are also provided.
  • 关键词:switching diffusion ; Feynman-Kac formula ; Dirichlet problem ; Cauchy problem
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