Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodic solutions of semi-explicit differential-algebraic equations
  with time-dependent constraints   In this paper we investigate the properties of the set of T-periodic
solutions of semi-explicit parametrized Differential-Algebraic Equations with
non-autonomous constraints of a particular type. We provide simple, degree
theoretic conditions for the existence of branches of T-periodic solutions of
the considered equations. Our approach is based on topological arguments about
differential equations on implicitly defined manifolds, combined with
elementary facts of matrix analysis.

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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph