Spectral properties of the family of even order differential operators with a summable potential
DOI10.3103/S0027132217040015zbMath1393.34034OpenAlexW2751762950MaRDI QIDQ1709442
Publication date: 5 April 2018
Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s0027132217040015
boundary value problemasymptotic behavior of eigenvaluesindicator diagramlarge values of the spectral parameter
Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Boundary eigenvalue problems for ordinary differential equations (34B09)
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Cites Work
- Spectral properties of boundary value problems for functional-differential equations with integrable coefficients
- 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
- The asymptotics of the eigenvalues of a fourth order differential operator with summable coefficients
- The asymptotic nature of solutions of linear systems of differential equations
- 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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