Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a new exact relation for the connection matrices in case of a linear
  second-order ODE with non-analytic coefficients   We consider the phase-integral method applied to an arbitrary linear ordinary
second-order differential equation with non-analytical coefficients. We propose
a universal technique based on the Frobenius method which allows to obtain new
exact relation between connection matrices associated with its general
solution. The technique allows the reader to write an exact algebraic equation
for the Stokes constants provided the differential equation has at most one
regular singular point in a finite area of the complex plane. We also propose a
way to write approximate relations between Stokes constants in case of multiple
regular singular points located far away from each other. The well-known Budden
problem is solved with help of this technique as an illustration of its usage.

1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex