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

DOI10.1007/s00009-018-1148-2zbMath1401.34095OpenAlexW2800908588MaRDI QIDQ723814

Chenghua Gao, Xiaolong Li, Ru Yun Ma

Publication date: 24 July 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1148-2

zbMATH Keywords

spectruminterlacingoscillation propertieslinear fourth-order differential operatorsquared spectral parameter

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (11)

Positive periodic solutions for nonlinear first-order delayed differential equations at resonance ⋮ Spectral properties of a fourth-order eigenvalue problem with quadratic spectral parameters in a boundary condition ⋮ 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 ⋮ Dependence of eigenvalues of discontinuous fourth-order differential operators with eigenparameter dependent boundary conditions ⋮ Some properties of eigenfunctions for the equation of vibrating beam with a spectral parameter in the boundary conditions ⋮ SELF-ADJOINT REALIZATION OF A CLASS OF THIRD-ORDER DIFFERENTIAL OPERATORS WITH AN EIGENPARAMETER CONTAINED IN THE BOUNDARY CONDITIONS ⋮ Positive solutions of Neumann problems for a discrete system coming from models of house burglary ⋮ Spectra of a discrete Sturm-Liouville problem with eigenparameter-dependent boundary conditions in Pontryagin space ⋮ NEW CANONICAL FORMS OF SELF-ADJOINT BOUNDARY CONDITIONS FOR REGULAR DIFFERENTIAL OPERATORS OF ORDER FOUR ⋮ Spectral properties of a fourth-order differential operator with eigenvalue parameter-dependent boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectral and oscillatory properties of a linear pencil of fourth-order differential operators
• Basis properties in \(L_{p}\) of systems of root functions of a spectral problem with spectral parameter in a boundary condition
• On the basis property of the system of eigenfunctions of a problem with squared spectral parameter in a boundary condition
• On the basis property of the system of eigenfunctions of a spectral problem with spectral parameter in the boundary condition
• Numerical methods for a singular eigenvalue problem with eigenparameter in the boundary conditions
• Nonrelativistic approximation in the energy space for KGS system
• On the oscillation of eigenfunctions of a fourth-order spectral problem
• Two-parameter right definite Sturm—Liouville problems with eigenparameter-dependent boundary conditions
• Boundary value problems with eigenvalue depending boundary conditions
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• A Prüfer approach to half-linear Sturm-Liouville problems
• Sturm–Liouville problems with eigenparameter dependent boundary conditions
• Eigenvalues and Pole Functions of Hamiltonian Systems with Eigenvalue Depending Boundary Conditions
• On a fourth-order problem with spectral and physical parameters in the boundary condition
• ON RANDOM TRANSVERSE VIBRATIONS OF A ROTATING BEAM WITH A TIP MASS: METHOD OF INTEGRAL EQUATIONS
• Inverse scattering of acoustic waves in an ocean with ice cover
• Discrete Sturm-Liouville problems with nonlinear parameter in the boundary conditions
• The linearization of boundary eigenvalue problems and reproducing kernel Hilbert spaces

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