• Title/Summary/Keyword: backward doubly stochastic differential equation

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THE SOLUTIONS OF BACKWARD DOUBLY STOCHASTIC DIFFERENTIAL EQUATIONS WITH NON-LIPSCHITZ COEFFICIENTS

  • Han, Baoyan;Zhu, Bo
    • Journal of applied mathematics & informatics
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    • v.29 no.5_6
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    • pp.1143-1155
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    • 2011
  • In this paper, we shall establish a new theorem on the existence and uniqueness of the solution to a backward doubly stochastic differential equations under a weaker condition than the Lipschitz coefficient. We also show a comparison theorem for this kind of equations.