Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse problem for a differential operator on a star-shaped graph with
  nonlocal matching condition   In this paper, we develop two approaches to investigation of inverse spectral
problems for a new class of nonlocal operators on metric graphs. The Laplace
differential operator is considered on a star-shaped graph with nonlocal
integral matching condition. This operator is adjoint to the
functional-differential operator with frozen argument at the central vertex of
the graph. We study the inverse problem that consists in the recovery of the
integral condition coefficients from the eigenvalues. We obtain the spectrum
characterization, reconstruction algorithms, and prove the uniqueness of the
inverse problem solution.

29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs