On Spectral Periodicity for the Sturm–Liouville Problem: Cantor Type Weight, Neumann and Third Type Boundary Conditions

DOI10.1007/978-3-0348-0648-0_32zbMath1318.34116OpenAlexW10072114MaRDI QIDQ5261251

I. A. Sheipak, A. A. Vladimirov

Publication date: 2 July 2015

Published in: Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0648-0_32

zbMATH Keywords

Sturm-Liouville operatorspectral periodicityCantor type functionsself-similar weights

Mathematics Subject Classification ID

Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations (34B05) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotics of the eigenvalues of the Sturm-Liouville problem with discrete self-similar weight
• Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals
• Strongly definitizable linear pencils in Hilbert space
• Indefinite Sturm-Liouville problem for some classes of self-similar singular weights
• On the construction and some properties of self-similar functions in the spaces \(L_{p}[0, 1\)]
• Oscillation theorems for Sturm-Liouville problems with distribution potentials
• Refinement of the spectral asymptotics of generalized Krein Feller operators
• Self-similar functions in $ L_2\lbrack0,1\rbrack$ and the Sturm-Liouville problem with a singular indefinite weight
• On the oscillation theory of the Sturm-Liouville problem with singular coefficients
• On a Spectral Problem Related to Self-Similar Measures
• Spectral Asymptotics, Renewal Theorem, and the Berry Conjecture for a Class of Fractals
• Calculating the eigenvalues of the Sturm-Liouville problem with a fractal indefinite weight