Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On asymptotic expansions of oscillating solutions of quasilinear
  ordinary differential equations systems   The existence of a formal particular solution (family of solutions) of
oscillating type under certain conditions has been proved for the quasi-linear
ordinary differential equations system. The asymptotic nature of this solution
(the family of solutions) is investigated in two individual cases when all the
eigenvalues of the matrix of the linear homogeneous part of the shorten system
of differential equations 1) are not pure imaginary, 2) are simple and under
some additional assumptions.

31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex