Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Feedback Optimal Control for Stochastic Volterra Equations with
  Completely Monotone Kernels   In this paper we are concerned with a class of stochastic Volterra
integro-differential problems with completely monotone kernels, where we assume
that the noise enters the system when we introduce a control. We start by
reformulating the state equation into a semilinear evolution equation which can
be treated by semigroup methods. The application to optimal control provide
other interesting result and require a precise descriprion of the properties of
the generated semigroup. The first main result of the paper is the proof of
existence and uniqueness of a mild solution for the corresponding
Hamilton-Jacobi-Bellman (HJB) equation. The main technical point consists in
the differentiability of the BSDE associated with the reformulated equation
with respect to its initial datum x.

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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin