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Backward doubly stochastic differential equations with weak assumptions on the coefficients
Authors:Qian Lin
Affiliation:School of Mathematics, Shandong University, Jinan 250100, China Laboratoire de Mathématiques, CNRS UMR 6205, Université de Bretagne Occidentale, 6, Avenue Victor Le Gorgeu, CS 93837, 29238 Brest Cedex 3, France
Abstract:In this paper, we deal with one dimensional backward doubly stochastic differential equations (BDSDEs). We obtain existence theorems and comparison theorems for solutions of BDSDEs with weak assumptions on the coefficients.
Keywords:Backward doubly stochastic differential equations   Backward stochastic differential equations   Comparison theorem   Existence theorem
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