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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
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.
Received: 31.10.2016 Revised: 01.02.2017
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
Linking options:
https://www.mathnet.ru/eng/mzm11430https://doi.org/10.4213/mzm11430 https://www.mathnet.ru/eng/mzm/v102/i2/p197
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