On the asymptotic behavior of the spectrum of a sixth-order differential operator, whose potential is the delta function

DOI10.15507/2079-6900.22.202003.280-305MaRDI QIDQ6184256

Sergeĭ I. Mitrokhin

Publication date: 24 January 2024

Published in: Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/svmo773

zbMATH Keywords

asymptotic behavior of solutionsDirac delta functionasymptotic behavior of eigenvaluesspectrum of operatordifferential operator with discontinuous coefficientspiecewise-smooth potential

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Discontinuous ordinary differential equations (34A36) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• First-order regularised trace of the Sturm-Liouville operator with δ-potential
• Trace formula for Sturm-Liouville operators with singular potentials

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