Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on topological methods for a class of Differential-Algebraic
  Equations   We study a particular class of autonomous Differential-Algebraic Equations
that are equivalent to Ordinary Differential Equations on manifolds. Under
appropriate assumptions we determine an easy-to-use straightforward formula for
the computation of the degree of the associated tangent vector field that does
not require any explicit knowledge of the manifold. We use this formula to
study the set of harmonic solutions to periodic perturbations of our equations.
Two different classes of applications are provided.

18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics