Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic differential equations with respect to optional
  semimartingales and two reflecting regulated barriers   In this work, we introduce a new Skorokhod problem with two reflecting
barriers when the trajectories of the driven process and the barriers are right
and left limited. We show that this problem has an explicit unique solution in
a deterministic case. Then, we apply our result to study the existence and
uniqueness of solutions of reflected stochastic differential equations with
respect to optional semimartingales. The study is carried out on a probability
space that does not necessarily satisfy the usual conditions.

19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph