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Matematicheskie Zametki, 2017, Volume 102, Issue 2, Pages 197–215
DOI: https://doi.org/10.4213/mzm11430 (Mi mzm11430) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Trace of Order $(-1)$ for a String with Singular Weight

A. S. Ivanov, A. M. Savchuk

Lomonosov Moscow State University
Full-text PDF (602 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm11430
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.
Keywords: spectral asymptotics, Sturm–Liouville problem, spectral trace.
Funding agency Grant number
Russian Science Foundation 14-01-00754
This work was supported by the Russian Science Foundation under grant 14-01-00754.
Received: 31.10.2016
Revised: 01.02.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 2, Pages 164–180
DOI: https://doi.org/10.1134/S0001434617070197
Bibliographic databases:
Document Type: Article
UDC: 517.927.2
Language: Russian
Citation: A. S. Ivanov, A. M. Savchuk, “Trace of Order $(-1)$ for a String with Singular Weight”, Mat. Zametki, 102:2 (2017), 197–215; Math. Notes, 102:2 (2017), 164–180
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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