Email this article Trace of order (−1) for a string with singular weight
- Authors: Ivanov A.S.1, Savchuk A.M.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 102, No 1-2 (2017)
- Pages: 164-180
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150089
- DOI: https://doi.org/10.1134/S0001434617070197
- ID: 150089
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Abstract
The Sturm–Liouville problem on a finite closed interval with potential and weight of first order of singularity is studied. Estimates for the s-numbers and eigenvalues of the corresponding integral operator are obtained. The spectral trace of first negative order is evaluated in terms of the integral kernel. The obtained theoretical results are illustrated by examples.
About the authors
A. S. Ivanov
Lomonosov Moscow State University
Author for correspondence.
Email: andrew-ivanov95@yandex.ru
Russian Federation, Moscow
A. M. Savchuk
Lomonosov Moscow State University
Email: andrew-ivanov95@yandex.ru
Russian Federation, Moscow
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