General existence results for reflected BSDE and BSDE |
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Authors: | EH Essaky M Hassani |
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Institution: | Université Cadi Ayyad, Faculté Poly-Disciplinaire, Département de Mathématiques et d?Informatique, B.P. 4162, Safi, Morocco |
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Abstract: | In this paper, we are concerned with the problem of existence of solutions for generalized reflected backward stochastic differential equations (GRBSDEs for short) and generalized backward stochastic differential equations (GBSDEs for short) when the generator is continuous with general growth with respect to the variable y and stochastic quadratic growth with respect to the variable z. We deal with the case of a bounded terminal condition ξ and a bounded barrier L as well as the case of unbounded ones. This is done by using the notion of generalized BSDEs with two reflecting barriers studied in Essaky and Hassani (submitted for publication) 14]. The work is suggested by the interest the results might have in finance, control and game theory. |
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Keywords: | MSC: 60H10 60H20 |
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