Asymptotics of eigenvalues in a problem of high even order with discrete self-similar weight

DOI10.1090/S1061-0022-2013-01237-4zbMath1280.34088OpenAlexW1965506572MaRDI QIDQ2849054

I. A. Sheipak, A. A. Vladimirov

Publication date: 16 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2013-01237-4

zbMATH Keywords

asymptotics of eigenvaluesordinary differential operatorself-similar function

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (3)

On the spectrum of a quasi-differential boundary value problem of the second-order ⋮ \( L_2\)-small ball asymptotics for Gaussian random functions: a survey ⋮ On the Neumann problem for the Sturm-Liouville equation with Cantor-type self-similar weight

Cites Work

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• Singular points of a self-similar function of spectral order zero: self-similar Stieltjes string
• Asymptotics of the eigenvalues of the Sturm-Liouville problem with discrete self-similar weight
• Estimates of the number of eigenvalues of self-adjoint operator functions
• Strongly definitizable linear pencils in Hilbert space
• On the construction and some properties of self-similar functions in the spaces \(L_{p}[0, 1\)]
• Degenerate self-similar measures, spectral asymptotics and small deviations of Gaussian processes
• Self-similar functions in $ L_2\lbrack0,1\rbrack$ and the Sturm-Liouville problem with a singular indefinite weight
• On a Spectral Problem Related to Self-Similar Measures

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