On spectral asymptotics of the Neumann problem for the Sturm-Liouville equation with arithmetically self-similar weight of a generalized Cantor type

DOI10.1007/s10688-018-0211-xzbMath1394.34183OpenAlexW2794519170MaRDI QIDQ1646323

N. V. Rastegaev

Publication date: 25 June 2018

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-018-0211-x

zbMATH Keywords

spectral asymptoticssemi-similar measure

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (2)

On spectral asymptotics of the Sturm-Liouville problem with self-conformal singular weight with strong bounded distortion property ⋮ On spectral asymptotics of the Sturm-Liouville problem with self-conformal singular weight

Cites Work

• Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals
• On the oscillation theory of the Sturm-Liouville problem with singular coefficients
• On a Spectral Problem Related to Self-Similar Measures
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