Spectral data asymptotics for the higher-order differential operators with distribution coefficients (Q6188026)

From MaRDI portal
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

    Statements

    Spectral data asymptotics for the higher-order differential operators with distribution coefficients (English)
    0 references
    1 February 2024
    0 references
    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)].
    0 references
    0 references
    eigenvalue asymptotics
    0 references
    regularization
    0 references
    distribution coefficients
    0 references
    higher-order differential operators
    0 references
    weight numbers
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references