Spectral data asymptotics for the higher-order differential operators with distribution coefficients (Q6188026)
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scientific article; zbMATH DE number 7798315
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral data asymptotics for the higher-order differential operators with distribution coefficients |
scientific article; zbMATH DE number 7798315 |
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Spectral data asymptotics for the higher-order differential operators with distribution coefficients (English)
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1 February 2024
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In this paper, the author obtains the asymptotics of eigenvalues and weight numbers for the higher-order differential operators with distribution coefficients and separated boundary conditions. Contrary to previous works in the literature the author consider the case when, for the two boundary value problems, some coefficients of the differential expressions and of the boundary conditions coincide. The technique of this paper relies on the results of the paper [\textit{A. M. Savchuk} and \textit{A. A. Shkalikov}, Sb. Math. 211, No. 11, 1623--1659 (2020; Zbl 1477.34032); translation from Mat. Sb. 211, No. 11, 129--166 (2020)].
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eigenvalue asymptotics
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regularization
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distribution coefficients
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higher-order differential operators
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weight numbers
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