Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global solvability criteria for some classes of nonlinear second order
  ordinary differential equations   The Riccati equation method is used to establish some global solvability
criteria for some classes of second order nonlinear ordinary differential
equations. Two oscillation theorems are proved. The results are applied to the
Emden - Fowler equation and to the Van der Pol type equation.

8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci