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

DOI10.1134/S0012266120030015zbMath1452.74046OpenAlexW3015707946MaRDI QIDQ2185087

Ziyatkhan S. Aliyev, Vuqar A. Mehrabov, Nazim B. Kerimov

Publication date: 4 June 2020

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266120030015

zbMATH Keywords

uniform convergencebending vibrationhomogeneous rodlumped inertial load

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (8)

Spectral properties of a beam equation with eigenvalue parameter occurring linearly in the boundary conditions ⋮ Eigenvalue asymptotics and a trace formula for a fourth-order differential operator ⋮ Stability of a flexible missile and asymptotics of the eigenvalues of fourth order boundary value problems ⋮ The spectral properties of a two-term fourth-order operator with a spectral parameter in the boundary condition ⋮ Asymptotics of the eigenvalues of a two-term fourth-order operator with boundary conditions dependent on the spectral parameter ⋮ 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 ⋮ Uniform convergence of spectral expansions for a problem with a boundary condition depending on a spectral parameter ⋮ Spectral properties of a fourth-order differential operator with eigenvalue parameter-dependent boundary conditions

Cites Work

• On the uniform convergence in \(C^{1}\) of Fourier series for a spectral problem with squared spectral parameter in a boundary condition
• On the singularities of the root space of a spectral problem with a spectral parameter in the boundary condition
• On the basis property of the system of eigenfunctions of a spectral problem with spectral parameter in the boundary condition
• Conditions for the absolute and uniform convergence of the biorthogonal series corresponding to a differential operator
• A remark on the convergence problem for spectral expansions corresponding to a classical problem with spectral parameter in the boundary condition
• On the uniform convergence of Fourier series expansions for Sturm-Liouville problems with a spectral parameter in the boundary conditions
• Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. I
• On the uniform convergence of the Fourier series for a spectral problem with squared spectral parameter in a boundary condition
• On the uniform convergence of the Fourier series for one spectral problem with a spectral parameter in a boundary condition
• The basis property in \(L_p\) of the system of eigenfunctions corresponding to two problems with a spectral parameter in the boundary condition
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convergence of eigenfunction expansions for a boundary value problem with spectral parameter in the boundary conditions. II