Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparison Theorem for Functional SDEs Driven by $G$-Brownian Motion   Sufficient and necessary conditions are presented for the comparison theorem
of path dependent $G$-SDEs. Different from the corresponding study in path
independent $G$-SDEs, a probability method is applied to prove these results.
Moreover, the results extend the ones in the linear expectation case.

17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess