On the study of the spectral properties of differential operators with a smooth weight function

DOI10.20310/2686-9667-2020-25-129-25-47zbMath1482.34201OpenAlexW3027231611MaRDI QIDQ5012405

Sergeĭ I. Mitrokhin

Publication date: 24 November 2021

Published in: Russian Universities Reports. Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtamu168

zbMATH Keywords

boundary conditionsweight functionboundary value problemdifferential operatorspectral parameterasymptotics of the eigenvaluesindicator diagramsummable potential

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) General spectral theory of ordinary differential operators (34L05) 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)

Related Items (1)

Spectral properties of an even-order differential operator with a discontinuous weight function

Cites Work

• On the spectral properties of odd-order differential operators with integrable potential
• Formulas for the regularized traces of the second order differential operators with discontinuous coefficients
• Iso-spectral operators: Some model examples with discontinuous coefficients
• 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
• First-order regularised trace of the Sturm-Liouville operator with δ-potential
• Discontinuous inverse eigenvalue problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the study of the spectral properties of differential operators with a smooth weight function