On basis property of root functions for a class second order differential operator

DOI10.2478/AMNS.2020.1.00034OpenAlexW3022247090MaRDI QIDQ2690715

Yanyan Li

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amns.2020.1.00034

zbMATH Keywords

eigenvaluesbasis propertySturm-Liouville

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

• Completeness of eigenfunctions of Sturm-Liouville problems with transmission 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
• Scattering theory of impulsive Sturm-Liouville equation in quantum calculus
• Discontinuous Sturm-Liouville problems containing eigenparameter in the boundary conditions
• 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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