Distribution of the spectrum of a Sturm-Liouville operator perturbed by a delta interaction

DOI10.1134/s0012266124070012MaRDI QIDQ6640559

A. S. Pechentsov

Publication date: 20 November 2024

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

zbMATH Keywords

eigenvalueasymptoticsself-adjoint operatordiscrete spectrum

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Perturbations of nonlinear operators (47H14)

Cites Work

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• Sturm-Liouville operators with singular potentials
• Distribution of the spectrum of a singular positive Sturm-Liouville operator perturbed by the Dirac delta function
• Spectral distribution of the Weber operator perturbed by the Dirac delta function
• Distribution of the spectrum of a singular Sturm-Liouville operator perturbed by the Dirac delta function
• THE ASYMPTOTIC EXPANSION OF THE SPECTRUM OF A STURM-LIOUVILLE OPERATOR
• Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set
• On the Solutions in L ² (−∞, ∞) of y ″ + (λ − q (x ))y = 0 when q is Rapidly Increasing

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