Matematičeskie zametki, Tome 6 (1969) no. 6, pp. 681-692
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M. M. Gekhtman; I. V. Stankevich. On a boundary problem generated by a self-adjoint Sturm–Liouville differential operator on the entire real axis. Matematičeskie zametki, Tome 6 (1969) no. 6, pp. 681-692. http://geodesic.mathdoc.fr/item/MZM_1969_6_6_a4/
@article{MZM_1969_6_6_a4,
author = {M. M. Gekhtman and I. V. Stankevich},
title = {On a~boundary problem generated by a~self-adjoint {Sturm{\textendash}Liouville} differential operator on the entire real axis},
journal = {Matemati\v{c}eskie zametki},
pages = {681--692},
year = {1969},
volume = {6},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_6_a4/}
}
TY - JOUR
AU - M. M. Gekhtman
AU - I. V. Stankevich
TI - On a boundary problem generated by a self-adjoint Sturm–Liouville differential operator on the entire real axis
JO - Matematičeskie zametki
PY - 1969
SP - 681
EP - 692
VL - 6
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1969_6_6_a4/
LA - ru
ID - MZM_1969_6_6_a4
ER -
%0 Journal Article
%A M. M. Gekhtman
%A I. V. Stankevich
%T On a boundary problem generated by a self-adjoint Sturm–Liouville differential operator on the entire real axis
%J Matematičeskie zametki
%D 1969
%P 681-692
%V 6
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1969_6_6_a4/
%G ru
%F MZM_1969_6_6_a4
In Hilbert space $L^2(0,a)$, $0, we consider the spectral problem generated by a Sturm–Liouville operator with real potential and boundary conditions which depend on the spectral parameter. The paper investigates the spectrum and the questions connected with the completeness of the system of eigenfunctions.
