Basis properties of the system of root functions of the Sturm-Liouville operator with degenerate boundary conditions. I

DOI10.1134/S0012266118100051zbMath1414.34022OpenAlexW2901629072WikidataQ128987555 ScholiaQ128987555MaRDI QIDQ1734713

Alexander S. Makin

Publication date: 27 March 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118100051

zbMATH Keywords

Sturm-Liouville operatorroot functionsdegenerate boundary conditionsbasis properties

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (1)

Basis properties of the system of root functions of the Sturm-Liouville operator with degenerate boundary conditions. II

Cites Work

• On a two-point boundary value problem for the Sturm-Liouville operator with a nonclassical asymptotics of the spectrum
• On the completeness of the system of root functions of the Sturm-Liouville operator with degenerate boundary conditions
• Resolvent growth and Birkhoff-regularity
• On the completeness of the system of root vectors of the Sturm-Liouville operator with general boundary conditions
• On the divergence of expansions in systems of root functions of the Sturm-Liouville operator with degenerate boundary conditions
• On a new class of boundary value problems for the Sturm-Liouville operator
• Problem with nonclassical eigenvalue asymptotics
• Characterization of the spectrum of the Sturm-Liouville operator with irregular boundary conditions
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