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
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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.
@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--Liouville} differential operator on the entire real axis},
journal = {Matemati\v{c}eskie zametki},
pages = {681--692},
publisher = {mathdoc},
volume = {6},
number = {6},
year = {1969},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_6_a4/}
}
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%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 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_1969_6_6_a4/ %G ru %F MZM_1969_6_6_a4
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/