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

DOI10.1134/S0012266119020034zbMath1419.34233OpenAlexW4248534799MaRDI QIDQ2002673

Anton Yu. Popov, A. S. Pechentsov

Publication date: 12 July 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266119020034

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (1)

Spectral distribution of the Weber operator perturbed by the Dirac delta function

Cites Work

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• Asymptotics of eigenvalues and eigenfunctions and the trace formula for a potential that contains \(\delta\)-functions.
• Sturm-Liouville operators with singular potentials
• Distribution of the spectrum of a singular positive Sturm-Liouville operator perturbed by the Dirac delta function
• 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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