Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Impulsive Stabilization of Linear Delay Differential Equations   The paper is concerned with stabilization of a scalar delay differention
equation $$ {\dot x}(t) - \sum_{k=1}^m A_k(t)x[h_k(t)] = 0,~t\geq 0,~
x(\xi)=\varphi (\xi), \xi <0, $$ by introducing impulses in certain moments of
time $$ x(\tau_j) = B_j x(\tau_j -0), ~j=1,2, \dots ~. $$ Explicit stability
results are presented both for the equation with positive coefficients and for
the equation with $A_k$ being of arbitrary sign.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph