Problem of oscillations of an elastic half cylinder and related self- adjoint quadratic pencils

DOI10.1007/BF01085045zbMath0587.73081MaRDI QIDQ1072762

M. B. Orazov, A. G. Kostyuchenko

Publication date: 1986

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

zbMATH Keywords

separation of variablesFourier methodcompleteness of part of bundle root vectorsdependency of real eigenvalues on parameter

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Vibrations in dynamical problems in solid mechanics (74H45) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

Related Items

Hardy space infinite elements for time-harmonic two-dimensional elastic waveguide problems ⋮ The property of orthogonality and energy transfer by three-dimensional eigenwaves in transversely isotropic laminated plates with and without contact with a liquid ⋮ The spectra of two-parameter quadratic operator pencils ⋮ Point spectrum of elliptic operators in fibered half-cylinders and the related completeness problem ⋮ Orthogonality of 3D guided waves in viscoelastic laminates and far field evaluation to a local acoustic source

Cites Work

• Certain properties of the roots of a self-adjoint quadratic pencil
• On some mathematical principles in the linear theory of damped oscillations of continua II
• Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields
• The problem of an elastic circular cylinder
• Saint-Venant's principle
• SOME PROPERTIES OF ANALYTIC OPERATOR-FUNCTIONS OF TWO ARGUMENTS
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
• On the asymptotics of eigenvalues and singular numbers of linear smoothing operators
• Über eine Klasse von Eigenwertaufgaben mit nichtlinearer Parameterabhängigkeit
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