Basis properties in $L_p$ of a Sturm-Liouville operator with spectral parameter in the boundary conditions

DOI10.1134/S0012266119020010zbMath1435.47050OpenAlexW2933424255WikidataQ128122548 ScholiaQ128122548MaRDI QIDQ2002671

Nazim B. Kerimov

Publication date: 12 July 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266119020010

zbMATH Keywords

Sturm-Liouville operatoreigenfunctionbasis

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) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (5)

Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. I ⋮ Basis properties of root functions of a vibrational boundary value problem with boundary conditions depending on the spectral parameter ⋮ Unnamed Item ⋮ A Riesz basis criterion for Schrödinger operators with boundary conditions dependent on the eigenvalue parameter ⋮ Uniform convergence of spectral expansions for a problem with a boundary condition depending on a spectral parameter

Cites Work

• Basis properties of the system of eigenfunctions in the Sturm-Liouville problem with a spectral parameter in the boundary conditions
• Basis properties of the root functions of an eigenvalue problem with a spectral parameter in the boundary conditions
• On the singularities of the root space of a spectral problem with a spectral parameter in the boundary condition
• Operator treatment of boundary problems with spectral parameters entering via polynomials in the boundary conditions
• On a spectral problem arising in a mathematical model of torsional vibrations of a rod with pulleys at the ends
• Regular eigenvalue problems 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
• The basis property in \(L_p\) of the system of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition
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