Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Volterra Equations of the First kind with Discontinuous Kernels in the
  Theory of Evolving Systems Control   The Volterra integral equations of the first kind with piecewise smooth
kernel are considered. Such equations appear in the theory of optimal control
of the evolving systems. The existence theorems are proved. The method for
constructing approximations of parametric families of solutions of such
equations is suggested. The parametric family of solutions is constructed in
terms of a logarithmic-power asymptotics.

27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin