Asymptotics of eigenvalues of differential operator with alternating weight function

DOI10.3103/S1066369X1806004XzbMath1403.34066OpenAlexW2807437012MaRDI QIDQ1795325

Sergeĭ I. Mitrokhin

Publication date: 16 October 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x1806004x

zbMATH Keywords

differential operatorasymptotics of eigenvaluesseparated boundary conditionsindicator diagramalternating weight function

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations (34B05) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (4)

Об асимптотике спектра дифференциального оператора четного порядка с потенциалом дельта-функцией ⋮ Spectral properties of an even-order differential operator with a discontinuous weight function ⋮ On the asymptotic behavior of the spectrum of a sixth-order differential operator, whose potential is the delta function ⋮ On the Study of the Spectrum of a Functional-Differential Operator with a Summable Potential

Cites Work

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• 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

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