Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Set-valued Ito's formula with an application to the general set-valued
  backward stochastic differential equation   The overarching goal of this paper is to establish a set-valued It\^{o}'s
formula. As an application, we obtain the existence and uniqueness of solutions
for the general set-valued backward stochastic differential equation which
gives an answer to an open question proposed by Ararat et al. (C. Ararat, J. Ma
and W.Q. Wu, Set-valued backward stochastic differential equation,
arXiv:2007.15073).

6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat