Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Order-Preservation for Multidimensional Stochastic Functional
  Differential Equations with Jump   Sufficient and necessary conditions are presented for the order-preservation
of stochastic functional differential equations on $\R^d$ with non-Lipschitzian
coefficients driven by the Brownian motion and Poisson processes. The
sufficiency of the conditions extends and improves some known comparison
theorems derived recently for one-dimesional equations and multidimensional
equations without delay, and the necessity is new even in these special
situations.

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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph