Spectral properties of a fourth-order differential operator with eigenvalue parameter-dependent boundary conditions
type: Item
instance of: scholarly article
title: Spectral properties of a fourth-order differential operator with eigenvalue parameter-dependent boundary conditions
zbMATH Open document ID: 1485.34087
author: Vuqar A. Mehrabov
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2022-03-21T00:00:00Z
Mathematics Subject Classification ID: 34B09
Mathematics Subject Classification ID: 34L10
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 47A75
Mathematics Subject Classification ID: 47B50
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 7493939
zbMATH Keywords: spectral problem
zbMATH Keywords: homogeneous rod
zbMATH Keywords: eigenvalue
zbMATH Keywords: root functions
zbMATH Keywords: unconditional basis
MaRDI profile type: Publication
full work available at URL: s40840-021-01216-6
OpenAlex ID: W4205225899
cites work: Basis properties of a fourth order differential operator with spectral parameter in the boundary condition
cites work: Basis properties in \(L_{p}\) of systems of root functions of a spectral problem with spectral parameter in a boundary condition
cites work: Defect basis property of a system of root functions of a Sturm-Liouville problem with spectral parameter in the boundary conditions
cites work: Properties of natural frequencies and harmonic bending vibrations of a rod at one end of which is concentrated inertial load
cites work: Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. I
cites work: Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. II
cites work: Some properties of eigenfunctions for the equation of vibrating beam with a spectral parameter in the boundary conditions
cites work: Spectral properties of the equation of a vibrating rod at both ends of which the masses are concentrated
cites work: Q4692935
cites work: Q5634492
cites work: Q5634493
cites work: A Sturm-Liouville problem with physical and spectral parameters in boundary conditions
cites work: On a fourth-order problem with spectral and physical parameters in the boundary condition
cites work: On oscillation of eigenfunctions of a fourth-order problem with spectral parameters in the boundary conditions
cites work: A Pruefer transformation for the equation of a vibrating beam subject to axial forces
cites work: Sturm–Liouville problems with eigenparameter dependent boundary conditions
cites work: Application of two parameter eigencurves to Sturm–Liouville problems with eigenparameter-dependent boundary conditions
cites work: Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
cites work: Eigenvalues of a linear fourth-order differential operator with squared spectral parameter in a boundary condition
cites work: Spectral properties of a fourth-order eigenvalue problem with quadratic spectral parameters in a boundary condition
cites work: Eigenvalues of discrete Sturm-Liouville problems with eigenparameter dependent boundary conditions
cites work: Spectra of a discrete Sturm-Liouville problem with eigenparameter-dependent boundary conditions in Pontryagin space
cites work: The basis property in \(L_p\) of the system of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition
cites work: On a spectral problem arising in a mathematical model of torsional vibrations of a rod with pulleys at the ends
cites work: A boundary value problem for the Dirac system with a spectral parameter in the boundary conditions
cites work: Q3413997
cites work: Q3508683
cites work: On the basis property of the system of eigenfunctions of a spectral problem with spectral parameter in the boundary condition
cites work: Basis properties of the system of eigenfunctions in the Sturm-Liouville problem with a spectral parameter in the boundary conditions
cites work: Oscillation and basis properties for the equation of vibrating rod at one end of which an inertial mass is concentrated
cites work: Q3784430
cites work: On the singularities of the root space of a spectral problem with a spectral parameter in the boundary condition
cites work: Self-adjoint fourth order differential operators with eigenvalue parameter dependent boundary conditions
cites work: Q5624013
cites work: Uniform convergence of Fourier series expansions for a fourth-order spectral problem with boundary conditions depending on the eigenparameter
cites work: Operator treatment of boundary problems with spectral parameters entering via polynomials in the boundary conditions
cites work: Regular eigenvalue problems with eigenvalue parameter in the boundary condition
DOI: 10.1007/S40840-021-01216-6
description: scientific article; zbMATH DE number 7493939