Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coupled fixed points of multivalued operators and first--order ODEs with
  state--dependent deviating arguments   We establish a coupled fixed points theorem for a meaningful class of mixed
monotone multivalued operators and then we use it to derive some results on
existence of quasisolutions and solutions to first--order functional
differential equations with state--dependent deviating arguments. Our results
are very general and can be applied to functional equations featuring
discontinuities with respect to all of their arguments, but we emphasize that
they are new even for differential equations with continuously state--dependent
delays.

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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics