On the Study of the Spectrum of a Functional-Differential Operator with a Summable Potential

DOI10.23671/VNC.2019.2.32116zbMath1463.34262MaRDI QIDQ4970090

Sergeĭ I. Mitrokhin

Publication date: 14 October 2020

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj692

zbMATH Keywords

boundary conditionsboundary value problemasymptotics of eigenvaluesspectral parameterfunctional-differential operatorindicator diagramsummable potential

Mathematics Subject Classification ID

Boundary value problems for functional-differential equations (34K10) Spectral theory of functional-differential operators (34K08)

Cites Work

• On the spectral properties of odd-order differential operators with integrable potential
• Differential-difference equations
• 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
• 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
• Study of differential operator with summable potential and discontinuous weight function
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