Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a generalization of the three spectral inverse problem   We consider a generalization of the three spectral inverse problem, that is,
for given spectrum of the Dirichlet-Dirichlet problem (the Sturm-Liouville
problem with Dirichlet conditions at both ends) on the whole interval $[0,a]$,
parts of spectra of the Dirichlet-Neumann and Dirichlet-Dirichlet problems on
$[0,a/2]$ and parts of spectra of the Dirichlet-Newman and Dirichlet-Dirichlet
problems on $[a/2,a]$, we find the potential of the Sturm-Liouville equation.

23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess