Spectral properties of a beam equation with eigenvalue parameter occurring linearly in the boundary conditions (Q5081120)

scientific article; zbMATH DE number 7535683

Language	Label	Description	Also known as
English	Spectral properties of a beam equation with eigenvalue parameter occurring linearly in the boundary conditions	scientific article; zbMATH DE number 7535683

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instance of

scholarly article

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title

Spectral properties of a beam equation with eigenvalue parameter occurring linearly in the boundary conditions (English)

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Proceedings of the Royal Society of Edinburgh: Section A Mathematics

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publication date

1 June 2022

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zbMATH Keywords

differential operator

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eigenvalue

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eigenfunction

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basis property of root functions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1017/prm.2021.34

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cites work

Q3574619

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Basis properties in \(L_{p}\) of systems of root functions of a spectral problem with spectral parameter in a boundary condition

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

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Basis properties of root functions of the Sturm-Liouville problem with a spectral parameter in the boundary conditions

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Properties of natural frequencies and harmonic bending vibrations of a rod at one end of which is concentrated inertial load

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Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. I

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Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. II

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Some properties of eigenfunctions for the equation of vibrating beam with a spectral parameter in the boundary conditions

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On the spectral problem arising in the mathematical model of bending vibrations of a homogeneous rod

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Spectral properties of the equation of a vibrating rod at both ends of which the masses are concentrated

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Eigenvalues and eigenfunctions of discontinuous Sturm-Liouville problems with eigenparameter-dependent boundary conditions

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On a fourth-order problem with spectral and physical parameters in the boundary condition

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On oscillation of eigenfunctions of a fourth-order problem with spectral parameters in the boundary conditions

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A Pruefer transformation for the equation of a vibrating beam subject to axial forces

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Sturm–Liouville problems with eigenparameter dependent boundary conditions

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Application of two parameter eigencurves to Sturm–Liouville problems with eigenparameter-dependent boundary conditions

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STURM–LIOUVILLE PROBLEMS WITH BOUNDARY CONDITIONS RATIONALLY DEPENDENT ON THE EIGENPARAMETER. I

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Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II

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Q5823354

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Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions

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Eigenvalues of a linear fourth-order differential operator with squared spectral parameter in a boundary condition

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Spectral properties of a fourth-order eigenvalue problem with quadratic spectral parameters in a boundary condition

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AN EXPANSION THEOREM FOR AN EIGENVALUE PROBLEM WITH EIGENVALUE PARAMETER IN THE BOUNDARY CONDITION

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Q2703931

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On a spectral problem arising in a mathematical model of torsional vibrations of a rod with pulleys at the ends

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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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On the basis property of the system of eigenfunctions of a spectral problem with spectral parameter in the boundary condition

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Basis properties of the system of eigenfunctions in the Sturm-Liouville problem with a spectral parameter in the boundary conditions

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Oscillation and basis properties for the equation of vibrating rod at one end of which an inertial mass is concentrated

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Self-adjoint fourth order differential operators with eigenvalue parameter dependent boundary conditions

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Basis properties of the eigenfunctions of two-interval Sturm-Liouville problems

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Q5624013

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Operator treatment of boundary problems with spectral parameters entering via polynomials in the boundary conditions

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A note on eigenvalue problems with eigenvalue parameter in the boundary conditions

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Boundary problems for ordinary differential equations with parameter in the boundary conditions

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Boundary eigenvalue problems for differential equations \(N\eta=\lambda P\eta\) with \(\lambda\)-polynomial boundary conditions

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Regular eigenvalue problems with eigenvalue parameter in the boundary condition

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Identifiers

zbMATH Open document ID

1500.34020

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5081120