Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well-posedness of Linear Integro-Differential Equations with
  Operator-valued Kernels   We study linear integro-differential equations in Hilbert spaces with
operator-valued kernels and give sufficient conditions for the well-posedness.
We show that several types of integro-differential equations are covered by the
class of evolutionary equations introduced in [R. Picard. A structural
observation for linear material laws in classical mathematical physics. Math.
Methods Appl. Sci., 32(14):1768-1803, 2009]. We therefore give criteria for the
well-posedness within this framework. As an example we apply our results to the
equations of visco-elasticity.

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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int