Oscillation properties for the equation of vibrating beam with irregular boundary conditions

DOI10.1016/j.jmaa.2009.05.042zbMath1179.34033OpenAlexW2041673468MaRDI QIDQ837111

Jamel Ben Amara

Publication date: 10 September 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.05.042

zbMATH Keywords

oscillation theoryfourth-order eigenvalue problemSturm theory

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (12)

Spectral properties of a fourth-order eigenvalue problem with quadratic spectral parameters in a boundary condition ⋮ Existence of solutions to a discrete fourth order boundary value problem ⋮ On the simplicity of eigenvalues of two nonhomogeneous Euler-Bernoulli beams connected by a point mass ⋮ An efficient technique for finding the eigenvalues and the eigenelements of fourth-order Sturm-Liouville problems ⋮ Nodal solutions of a nonlinear eigenvalue problem of the Euler-Bernoulli equation ⋮ Some properties of eigenfunctions for the equation of vibrating beam with a spectral parameter in the boundary conditions ⋮ Irregular boundary value problems revisited ⋮ Basis properties of a fourth order differential operator with spectral parameter in the boundary condition ⋮ Properties of natural frequencies and harmonic bending vibrations of a rod at one end of which is concentrated inertial load ⋮ Unnamed Item ⋮ Spectral properties of a fourth order eigenvalue problem with spectral parameter in the boundary conditions ⋮ On using Bernstein scheme for computation of the eigenvalues of fourth-order Sturm-Liouville problems

Cites Work

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• Sturm theory for the equation of vibrating beam
• On the basis property of the system of eigenfunctions of a spectral problem with spectral parameter in the boundary condition
• A Pruefer transformation for the equation of a vibrating beam subject to axial forces
• Oscillation theory of ordinary linear differential equations
• On the Oscillation of Solutions of Self-Adjoint Linear Differential Equations of the Fourth Order
• A Prufer Transformation for the Equation of the Vibrating Beam

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