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We study the problem of existence of solutions for generalized backwardstochastic differential equation with two reflecting barriers (GRBSDE forshort) under weaker assumptions on the data. Roughly speaking we show theexistence of a maximal solution for GRBSDE when the terminal condition \xi isF_T-measurable, the coefficient f is continuous with general growth withrespect to the variable y and stochastic quadratic growth with respect to thevariable z and the reflecting barriers L and U are just right continuous leftlimited. The result is proved without assuming any P-integrability conditions.

Stochastic Quadratic BSDE With Two RCLL Obstacles