Matematičeskie zametki, Tome 17 (1975) no. 4, pp. 631-638
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V. I. Filippenko. Multiplicity of the spectrum of a self-adjoint ordinary differential operator of odd order. Matematičeskie zametki, Tome 17 (1975) no. 4, pp. 631-638. http://geodesic.mathdoc.fr/item/MZM_1975_17_4_a14/
@article{MZM_1975_17_4_a14,
author = {V. I. Filippenko},
title = {Multiplicity of the spectrum of a~self-adjoint ordinary differential operator of odd order},
journal = {Matemati\v{c}eskie zametki},
pages = {631--638},
year = {1975},
volume = {17},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_4_a14/}
}
TY - JOUR
AU - V. I. Filippenko
TI - Multiplicity of the spectrum of a self-adjoint ordinary differential operator of odd order
JO - Matematičeskie zametki
PY - 1975
SP - 631
EP - 638
VL - 17
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1975_17_4_a14/
LA - ru
ID - MZM_1975_17_4_a14
ER -
%0 Journal Article
%A V. I. Filippenko
%T Multiplicity of the spectrum of a self-adjoint ordinary differential operator of odd order
%J Matematičeskie zametki
%D 1975
%P 631-638
%V 17
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1975_17_4_a14/
%G ru
%F MZM_1975_17_4_a14
A bound is obtained for the multiplicity of the spectrum of the self-adjoint operator generated by a singular ordinary differential operatorell of odd order in the Hubert space $\mathscr L^2(a,b)$ in terms of solutions of the differential equationel $l[y]=\lambda y$.