Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second-order subdifferential. Extremal problems for operational
  inclusions   In the work, the property of the second-order subdifferential is studied and
second-order optimality conditions are obtained for the minimization problem.
We also obtained necessary and sufficient conditions for an extremum for the
extremal problem of operator inclusions.

31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph