Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some properties of evolution equation for homogeneous nucleation period
  under the smooth behavior of initial conditions   The properties of the evolution equation have been analyzed. The uniqueness
and the existence of solution for the evolution equation with special value of
parameter characterizing intensity of change of external conditions, of the
corresponding iterated equation have been established. On the base of these
facts taking into account some properties of behavior of solution the
uniqueness of the equation appeared in the theory of homogeneous nucleation has
been established. The equivalence of auxiliary problem and the real problem is
shown.

21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat