Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Petrenko's deviations and second order differential equations   New results on the oscillation of solutions of $f''+A(z)f=0$ and on the
growth of solutions of $f''+A(z)f'+B(z)f=0$ are obtained, where $A$ and $B$ are
entire functions. Petrenko's magnitudes of deviation of $g$ with respect to
$\infty$ play a key r\^ole in the results, where $g$ represents one of the
coefficients $A$ or $B$. These quantities are defined by $\beta^-(\infty,g) =
\liminf_{r\to\infty} \frac{\log M(r,g)}{T(r,g)}$ and $\beta^+(\infty,g) =
\limsup_{r\to\infty} \frac{\log M(r,g)}{T(r,g)}$.

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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
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The categories of this paper are: stat
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-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: hep-th
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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: eess