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Matematicheskie Zametki, 1969, Volume 6, Issue 6, Pages 681–692
(Mi mzm6977)
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This article is cited in 2 scientific papers (total in 2 papers)
On a boundary problem generated by a self-adjoint Sturm–Liouville differential operator on the entire real axis
M. M. Gekhtmana, I. V. Stankevichb a Daghestan State University
b Institute of Organoelement Compounds of the USSR Academy of Sciences
Abstract:
In Hilbert space $L^2(0,a)$, $0<a<infty$, 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.
Received: 26.04.1968
Citation:
M. M. Gekhtman, I. V. Stankevich, “On a boundary problem generated by a self-adjoint Sturm–Liouville differential operator on the entire real axis”, Mat. Zametki, 6:6 (1969), 681–692; Math. Notes, 6:6 (1969), 873–879
Linking options:
https://www.mathnet.ru/eng/mzm6977 https://www.mathnet.ru/eng/mzm/v6/i6/p681
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