Об эффекте «расщепления» для многоточечных дифференциальных операторов с суммируемым потенциалом

DOI10.14498/vsgtu1504zbMath1413.34082OpenAlexW2775960411MaRDI QIDQ4961586

Sergeĭ I. Mitrokhin

Publication date: 25 October 2018

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/vsgtu1504

zbMATH Keywords

differential operatorspectral parameterasymptotic behavior of eigenvaluesindicator diagramequation for eigenvaluessummable 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) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• On the spectral properties of odd-order differential operators with integrable potential
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• Differential-difference equations
• On the ``splitting of multiplicity in principal eigenvalues of multipoint boundary value problems
• Sturm-Liouville operators with singular potentials
• Spectral properties of second-order differential operators with a discontinuous positive weight function
• First and second order differentiation operators with weight functions of variable sign
• The asymptotics of the eigenvalues of a fourth order differential operator with summable coefficients
• Asymptotics of any order for the eigenvalues and eigenfunctions of the Sturm-Liouville boundary-value problem on a segment with a summable potential
• First-order regularised trace of the Sturm-Liouville operator with δ-potential
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