Email this article Basis Properties of the System of Root Functions of the Sturm–Liouville Operator with Degenerate Boundary Conditions: I
- Authors: Makin A.S.1
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Affiliations:
- Moscow Technological University (MIREA)
- Issue: Vol 54, No 10 (2018)
- Pages: 1338-1353
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154850
- DOI: https://doi.org/10.1134/S0012266118100051
- ID: 154850
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Abstract
The spectral problem for the Sturm–Liouville operator with an arbitrary complex-valued potential q(x) of the class L1(0, π) and degenerate boundary conditions is considered. We prove that the system of root functions of this operator is not a basis in the space L2(0, π).
About the authors
A. S. Makin
Moscow Technological University (MIREA)
Author for correspondence.
Email: alexmakin@yandex.ru
Russian Federation, Moscow, 119454
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