Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Note on the Stability of Exponential Dichotomy of Linear Differential
  Equations   We present an elementary Functional Analytic proof of the roughness of
Exponential Dichotomy of Ordinary Differential Equations (with exponential
growth) on an arbitrary Banach Space.

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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg