Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Delay differential equations with differentiable solution operators on
  open domains in $C((-\infty,0],\mathbb{R}^n)$, and processes for Volterra
  integro-differential equations   For autonomous delay differential equations $x'(t)=f(x_t)$ we construct a
continuous semiflow of continuously differentiable solution operators
$x_0\mapsto x_t$, $t\ge0$, on open subsets of the Fr\'echet space
$C((-\infty,0],\mathbb{R}^n)$. For nonautonomous equations this yields a
continuous process of differentiable solution operators. As an application we
obtain processes which incorporate all solutions of Volterra
integro-differential equations $x'(t)=\int_0^tk(t,s)h(x(s))ds$

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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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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: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg