Contemporary Mathematics. Fundamental Directions, Dedicated to the memory of Professor N. D. Kopachevsky, Tome 67 (2021) no. 2, pp. 408-421
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V. A. Yurko. Direct and inverse problems of spectral analysis for arbitrary-order differential operators with nonintegrable regular singularities. Contemporary Mathematics. Fundamental Directions, Dedicated to the memory of Professor N. D. Kopachevsky, Tome 67 (2021) no. 2, pp. 408-421. http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a10/
@article{CMFD_2021_67_2_a10,
author = {V. A. Yurko},
title = {Direct and inverse problems of spectral analysis for arbitrary-order differential operators with nonintegrable regular singularities},
journal = {Contemporary Mathematics. Fundamental Directions},
pages = {408--421},
year = {2021},
volume = {67},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a10/}
}
TY - JOUR
AU - V. A. Yurko
TI - Direct and inverse problems of spectral analysis for arbitrary-order differential operators with nonintegrable regular singularities
JO - Contemporary Mathematics. Fundamental Directions
PY - 2021
SP - 408
EP - 421
VL - 67
IS - 2
UR - http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a10/
LA - ru
ID - CMFD_2021_67_2_a10
ER -
%0 Journal Article
%A V. A. Yurko
%T Direct and inverse problems of spectral analysis for arbitrary-order differential operators with nonintegrable regular singularities
%J Contemporary Mathematics. Fundamental Directions
%D 2021
%P 408-421
%V 67
%N 2
%U http://geodesic.mathdoc.fr/item/CMFD_2021_67_2_a10/
%G ru
%F CMFD_2021_67_2_a10
A short review is presented of results on the spectral theory of arbitrary order ordinary differential operators with non-integrable regular singularities. We establish properties of spectral characteristics, prove theorems on completeness of root functions in the corresponding spaces, prove expansion and equiconvergence theorems, and provide a solution of the inverse spectral problem for this class of operators.
