Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform stability of the inverse spectral problem for a convolution
  integro-differential operator   The operator of double differentiation, perturbed by the composition of the
differentiation operator and a convolution one, on a finite interval with
Dirichlet boundary conditions is considered. We obtain uniform stability of
recovering the convolution kernel from the spectrum in a weighted $L_2$-norm
and in a weighted uniform norm. For this purpose, we successively prove uniform
stability of each step of the algorithm for solving this inverse problem in
both the norms. Besides justifying the numerical computations, the obtained
results reveal some essential difference from the classical inverse
Sturm-Liouville problem.

8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org