Oscillation method in the spectral problem for a fourth order differential operator with a self-similar weight

DOI10.1090/spmj/1385zbMath1343.34193OpenAlexW2274822267MaRDI QIDQ2786979

A. A. Vladimirov

Publication date: 24 February 2016

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

Full work available at URL: https://doi.org/10.1090/spmj/1385

zbMATH Keywords

differential operatorspectral asymptoticsself-similar functionoscillation of eigenfunctions

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (3)

On spectral asymptotics of the tensor product of operators with almost regular marginal asymptotics ⋮ \( L_2\)-small ball asymptotics for Gaussian random functions: a survey ⋮ On spectral asymptotics of the Neumann problem for the Sturm-Liouville equation with self-similar weight of generalized Cantor type

Cites Work

• On the Neumann problem for the Sturm-Liouville equation with Cantor-type self-similar weight
• On the convergence of sequences of ordinary differential equations
• On the Oscillation of Solutions of Self-Adjoint Linear Differential Equations of the Fourth Order
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