Email this article On the absence of the basis property for the root function system of the Sturm–Liouville operator with degenerate boundary conditions
- Authors: Makin A.S.1
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Affiliations:
- Moscow State Technical University of Radio Engineering, Electronics, and Automation
- Issue: Vol 93, No 2 (2016)
- Pages: 220-222
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223613
- DOI: https://doi.org/10.1134/S1064562416020290
- ID: 223613
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Abstract
The eigenvalue problem generated by the Sturm–Liouville equation on the interval (0, π) with degenerate boundary conditions is considered. Under certain conditions imposed on the spectrum, it is shown that the system of eigen- and associated functions is not a basis in L2(0, π).
About the authors
A. S. Makin
Moscow State Technical University of Radio Engineering, Electronics, and Automation
Author for correspondence.
Email: alexmakin@yandex.ru
Russian Federation, pr. Vernadskogo 78, Moscow, 119454
