Basis properties of the root functions of an eigenvalue problem with a spectral parameter in the boundary conditions
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Publication:600753
DOI10.1134/S1064562410040228zbMath1213.34105MaRDI QIDQ600753
Publication date: 1 November 2010
Published in: Doklady Mathematics (Search for Journal in Brave)
Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Boundary eigenvalue problems for ordinary differential equations (34B09)
Related Items (11)
On basis properties of root functions of a boundary value problem containing a spectral parameter in the boundary conditions ⋮ Basis properties in \({L}_{p}\) of root functions of Sturm-Liouville problem with spectral parameter-dependent boundary conditions ⋮ Basis properties of root functions of the Sturm-Liouville problem with a spectral parameter in the boundary conditions ⋮ Basis properties of the system of eigenfunctions in the Sturm-Liouville problem with a spectral parameter in the boundary conditions ⋮ Defect basis property of a system of root functions of a Sturm-Liouville problem with spectral parameter in the boundary conditions ⋮ Unnamed Item ⋮ Some properties of eigenfunctions for the equation of vibrating beam with a spectral parameter in the boundary conditions ⋮ On the uniform convergence of Fourier series expansions for Sturm-Liouville problems with a spectral parameter in the boundary conditions ⋮ Basis properties in $L_p$ of a Sturm-Liouville operator with spectral parameter in the boundary conditions ⋮ Properties of natural frequencies and harmonic bending vibrations of a rod at one end of which is concentrated inertial load ⋮ Spectral properties of a fourth order eigenvalue problem with spectral parameter in the boundary conditions
Cites Work
- On the basis property of the system of eigenfunctions of a spectral problem with spectral parameter in the boundary condition
- On a spectral problem arising in a mathematical model of torsional vibrations of a rod with pulleys at the ends
- The basis property in \(L_p\) of the system of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition
- Unnamed Item
- Unnamed Item
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