Matematičeskie zametki, Tome 18 (1975) no. 4, pp. 569-576
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V. A. Yurko. The inverse problem for differential operators of second order with regular boundary conditions. Matematičeskie zametki, Tome 18 (1975) no. 4, pp. 569-576. http://geodesic.mathdoc.fr/item/MZM_1975_18_4_a9/
@article{MZM_1975_18_4_a9,
author = {V. A. Yurko},
title = {The inverse problem for differential operators of second order with regular boundary conditions},
journal = {Matemati\v{c}eskie zametki},
pages = {569--576},
year = {1975},
volume = {18},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_4_a9/}
}
TY - JOUR
AU - V. A. Yurko
TI - The inverse problem for differential operators of second order with regular boundary conditions
JO - Matematičeskie zametki
PY - 1975
SP - 569
EP - 576
VL - 18
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1975_18_4_a9/
LA - ru
ID - MZM_1975_18_4_a9
ER -
%0 Journal Article
%A V. A. Yurko
%T The inverse problem for differential operators of second order with regular boundary conditions
%J Matematičeskie zametki
%D 1975
%P 569-576
%V 18
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1975_18_4_a9/
%G ru
%F MZM_1975_18_4_a9
This paper is devoted to the proof of the unique solvability of the inverse problem for second-order differential operators with arbitrary regular nonseparable boundary conditions. It is shown that the operator can be recovered from three of its spectra. As a special case, the well-known reconstruction of the Sturm–Liouville operator is accomplished.
