Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean Field Forward-Backward Stochastic Differential Equations   The purpose of this note is to provide an existence result for the solution
of fully coupled Forward Backward Stochastic Differential Equations (FBSDEs) of
the mean field type. These equations occur in the study of mean field games and
the optimal control of dynamics of the McKean Vlasov type.

7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio