Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Asymptotic Behaviour of the Sum of Negative Eigenvalues of a
  Self-Adjoint Operator Given in Semi-Axis   In this work, we find the asymptotic formulas for the sum of the negative
eigenvalues smaller than $-\varepsilon$ $(\varepsilon >0)$ of a self-adjoint
operator $L$ which is defined by the following differential expression
$$\ell(y)=-(p(x)y'(x))'-Q(x)y(x)$$ with the boundary condition $y(0) = 0$ in
the space in the space $L_{2}(0,\infty ;H)$.

36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph