Email this article Irregular boundary value problem for the Sturm–Liouville operator
- Authors: Makin A.S.1, Moiseev T.E.2
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Affiliations:
- Moscow Technological University (MIREA)
- Lomonosov Moscow State University
- Issue: Vol 53, No 8 (2017)
- Pages: 1021-1028
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154512
- DOI: https://doi.org/10.1134/S0012266117080067
- ID: 154512
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Abstract
We consider an eigenvalue problem for the Sturm–Liouville operator with nonclassical asymptotics of the spectrum. We prove that this problem, which has a complete system of root functions, is not almost regular (Stone-regular) but its Green function has a polynomial order of growth in the spectral parameter.
About the authors
A. S. Makin
Moscow Technological University (MIREA)
Author for correspondence.
Email: alexmakin@yandex.ru
Russian Federation, Moscow, 119454
T. E. Moiseev
Lomonosov Moscow State University
Email: alexmakin@yandex.ru
Russian Federation, Moscow, 119991
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