On Basis Property of Root Functions for a Class of the Second Order Differential Operators

DOI10.14529/mmph200302zbMath1479.34136OpenAlexW3046688526MaRDI QIDQ5144149

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Publication date: 15 January 2021

Published in: Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyurm452

zbMATH Keywords

Riesz basiscompletenesseigenfunctionsorthonormal basis

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Cites Work

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• Completeness of eigenfunctions of Sturm-Liouville problems with transmission conditions
• Boundary problems for ordinary differential equations with parameter in the boundary conditions
• A note on eigenvalue problems with eigenvalue parameter in the boundary conditions
• Operator treatment of boundary problems with spectral parameters entering via polynomials in the boundary conditions
• Eigenvalues of discontinuous Sturm-Liouville problems with symmetric potentials
• A remark on the convergence problem for spectral expansions corresponding to a classical problem with spectral parameter in the boundary condition
• Eigenvalues and eigenfunctions of discontinuous two-point boundary value problems with an eigenparameter in the boundary condition
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• AN EXPANSION THEOREM FOR AN EIGENVALUE PROBLEM WITH EIGENVALUE PARAMETER IN THE BOUNDARY CONDITION
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• Sturm–Liouville problems with eigenparameter dependent boundary conditions

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