On the accumulation of eigenvalues of operator pencils connected with the problem of vibrations in a viscoelastic rod

DOI10.1007/S11006-006-0039-1zbMath1115.47013OpenAlexW2033135473MaRDI QIDQ881004

A. A. Vladimirov

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0039-1

zbMATH Keywords

quadratic formoperator pencilKelvin-Voigt bodyaccumulation of eigenvaluesindex of inertiasmall vibrations in a viscoelastic rod

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Vibrations in dynamical problems in solid mechanics (74H45) General theory of partial differential operators (47F05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (2)

Small transverse vibrations of visco-elastic rods ⋮ Oscillatory properties of selfadjoint boundary problems of the fourth order

Cites Work

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• On an operator pencil arising in the problem of beam oscillation with internal damping
• On the Eigenvalue Accumulation of Sturm-Liouville Problems Depending Nonlinearly on the Spectral Parameter

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