Mean-field backward stochastic differential equations with mean reflection and nonlinear resistance

Peng Luo

Published 2019-11-19Version 1

The present paper is devoted to the study of the well-posedness of mean-field BSDEs with mean reflection and nonlinear resistance. By the contraction mapping argument, we first prove that the mean-field BSDE with mean reflection and nonlinear resistance admits a unique deterministic flat local solution on a small time interval. Moreover, we build the global solution on the whole time interval by stitching local solutions when there is no resistance in the generator.