On basis properties of root functions of a boundary value problem containing a spectral parameter in the boundary conditions

DOI10.1134/S1064562413020014zbMath1277.34116MaRDI QIDQ2375962

Ziyatkhan S. Aliyev

Publication date: 25 June 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

root functionsspectral parameterbasis properties

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (14)

Spectral properties of a fourth-order eigenvalue problem with quadratic spectral parameters in a boundary condition ⋮ Uniform convergence of the Fourier series expansions in the subsystems of root functions of some spectral problem for ordinary differential equations of fourth order ⋮ Spectral properties of discrete Sturm-Liouville problems with two squared eigenparameter-dependent boundary conditions ⋮ Spectral properties of a beam equation with eigenvalue parameter occurring linearly in the boundary conditions ⋮ Spectral properties of the equation of a vibrating rod at both ends of which the masses are concentrated ⋮ Basis properties in \({L}_{p}\) of root functions of Sturm-Liouville problem with spectral parameter-dependent boundary conditions ⋮ Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. I ⋮ Unnamed Item ⋮ Some properties of eigenfunctions for the equation of vibrating beam with a spectral parameter in the boundary conditions ⋮ On the spectral problem arising in the mathematical model of bending vibrations of a homogeneous rod ⋮ Properties of natural frequencies and harmonic bending vibrations of a rod at one end of which is concentrated inertial load ⋮ Unnamed Item ⋮ On the uniform convergence of Fourier series expansions in the system of eigenfunctions of the equation of a vibrating rod at one end of which the mass is concentrated ⋮ Spectral properties of a fourth order eigenvalue problem with spectral parameter in the boundary conditions

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
• Unnamed Item
• Unnamed Item

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