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Trace of order (−1) for a string with singular weight

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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.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    A. S. Ivanov & A. M. Savchuk

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  1. A. S. Ivanov
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  2. A. M. Savchuk
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Correspondence to A. S. Ivanov.

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Original Russian Text © A. S. Ivanov, A. M. Savchuk, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 2, pp. 197–215.

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Ivanov, A.S., Savchuk, A.M. Trace of order (−1) for a string with singular weight. Math Notes 102, 164–180 (2017). https://doi.org/10.1134/S0001434617070197

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  • DOI: https://doi.org/10.1134/S0001434617070197

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