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Backward Doubly Stochastic Differential Equations with Time Delayed Generators
LUO Jiaowan *,ZHANG Youcun #,LI Zhi
School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, Guangdong 510006
*Correspondence author
#Submitted by
Subject:
Funding: Specialized Research Fund for the Doctoral Program of Higher Education(No.No.20090002110047)
Opened online: 2 January 2013
Accepted by: none
Citation: LUO Jiaowan,ZHANG Youcun,LI Zhi.Backward Doubly Stochastic Differential Equations with Time Delayed Generators[OL]. [ 2 January 2013] http://en.paper.edu.cn/en_releasepaper/content/4506993
 
 
In this paper, we study backward doubly stochastic differential equation with time delayed generators. In this new type of equations, generators at time t can depend on the values of a solution in the past, weighted with a time delay function for instance of the moving average type. We prove existence and uniqueness of a solution for a sufficiently small Lipschitz constant of generators.
Keywords:Backward doubly stochastic differential equations; Time delayed generators; Contractioninequality; Existence and uniqueness
 
 
 

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