Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mackey-Glass type delay differential equations near the boundary of
  absolute stability   For equations $ x'(t) = -x(t) + \zeta f(x(t-h)), x \in \R, f'(0)= -1, \zeta >
0,$ with $C^3$-nonlinearity $f$ which has negative Schwarzian derivative and
satisfies $xf(x) < 0$ for $x\not=0$, we prove convergence of all solutions to
zero when both $\zeta -1 >0$ and $h(\zeta-1)^{1/8}$ are less than some constant
(independent on $h,\zeta$). This result gives additional insight to the
conjecture about the equivalence between local and global asymptotical
stabilities in the Mackey-Glass type delay differential equations.

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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg