Abstract
This paper mainly studies one-dimensional mean-field backward stochastic differential equations (MFBSDEs) when their coefficient is uniformly continuous in , independent of and non-decreasing in . The existence of the solution of this kind MFBSDEs has been well studied. The uniqueness of the solution of MFBSDE is proved when is also independent of . Moreover, MFBSDE with coefficient , in which is a real number, has non-unique solutions, and it’s at most countable.
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