Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic differential game of functional forward-backward stochastic
  system and related path-dependent HJBI equation   This paper is devoted to a stochastic differential game of functional
forward-backward stochastic differential equation (FBSDE, for short). The
associated upper and lower value functions of the stochastic differential game
are defined by controlled functional backward stochastic differential equations
(BSDEs, for short). Applying the Girsanov transformation method introduced by
Buckdahn and Li [1], the upper and the lower value functions are shown to be
deterministic. We also generalize the Hamilton-Jacobi-Bellman-Isaacs (HJBI, for
short) equations to the path-dependent ones. By establishing the dynamic
programming principal (DPP, for short), the upper and the lower value functions
are shown to be the viscosity solutions of the corresponding upper and the
lower path-dependent HJBI equations, respectively.

27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph