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Reflected backward doubly stochastic differential equations with discontinuous coefficients
Authors:Zhi Li  Jiao Wan Luo
Institution:12074. School of Information and Mathematics, Yangtze University, Jingzhou, 434023, P. R. China
22074. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, P. R. China
Abstract:In this paper, we study one-dimensional reflected backward doubly stochastic differential equations (RBDSDEs) with one continuous barrier and discontinuous (left or right continuous) generator. We obtain an existence theorem and a comparison theorem for solutions of the class of RBDSDEs.
Keywords:Reflected backward doubly stochastic differential equations  existence theorem  comparison theorem
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