Distribution of the spectrum of a singular positive Sturm-Liouville operator perturbed by the Dirac delta function

DOI10.1134/S0012266117080079zbMath1378.34096OpenAlexW2754930158MaRDI QIDQ1675891

A. S. Pechentsov

Publication date: 3 November 2017

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117080079

zbMATH Keywords

zeros of the Airy function

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Parameter dependent boundary value problems for ordinary differential equations (34B08) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (2)

Distribution of the spectrum of a singular Sturm-Liouville operator perturbed by the Dirac delta function ⋮ Regularized traces of the Airy operator perturbed by the Dirac delta function

Cites Work

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• Trace of a difference of singular Sturm-Liouville operators with a potential containing Dirac \(\delta\)-functions
• Asymptotics of eigenvalues and eigenfunctions and the trace formula for a potential that contains \(\delta\)-functions.
• Sturm-Liouville operators with singular potentials
• The asymptotics of eigenvalues and eigenfunctions and a trace formula for a potential with Delta functions
• Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set

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