Об асимптотике спектра дифференциального оператора четного порядка с потенциалом дельта-функцией

DOI10.14498/VSGTU1798zbMath1499.34441OpenAlexW4210895882MaRDI QIDQ5066523

Sergeĭ I. Mitrokhin

Publication date: 29 March 2022

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu1798

zbMATH Keywords

eigenvaluesdifferential operatorDirac delta-functionasymptotics of the spectrumasymptotics of solutions of differential equationspiecewise 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) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• Spectral properties of boundary value problems for functional-differential equations with integrable coefficients
• Differential-difference equations
• Formulas for the regularized traces of the second order differential operators with discontinuous coefficients
• Sturm-Liouville operators with singular potentials
• Spectral properties of second-order differential operators with a discontinuous positive weight function
• Asymptotics of eigenvalues of differential operator with alternating weight function
• Elliptic operators with boundary conditions on a subset of measure zero
• The asymptotics of eigenvalues and eigenfunctions and a trace formula for a potential with Delta functions
• Potentials of zero radius and Carleman operators
• Gaps in the spectrum of the Laplacian in a strip with periodic delta interaction
• The asymptotics of the eigenvalues of a fourth order differential operator with summable coefficients
• First-order regularised trace of the Sturm-Liouville operator with δ-potential
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