Acta mathematica scientia,Series A

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Backward Doubly Stochastic Differential Equations with Non-Lipschitz Coefficients

Zhu Bo; Han Baoyan   

  1. (School of Mathematics and Statistics Shandong Economic University, Jinan 250100; Shandong Art and Design Academy, Jinan 250014)
  • Received:2006-03-09 Revised:2008-06-11 Online:2008-10-25 Published:2008-10-25
  • Contact: Han Yanbao

Abstract: A class of backward doubly stochastic differential equations (BDSDEs) are studied. The existence and uniqueness of solution to BDSDEs with non-Lipschitz coefficients is obtained,~and a comparison theorem to this kind of backward stochastic differential equations is showed.

Key words: Stochastic calculus, Backward doubly stochastic differential equation, Comparison theorem, Picardtype iteration

CLC Number: 

  • 60H10
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