Spectrum, adjoining the real axis, in a problem of elasticity theory

DOI10.1007/BF01081814zbMath0522.73046MaRDI QIDQ1056262

Alexander Gomilko

Publication date: 1982

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

normal oscillationsfixed boundaryelastic semicylinderHilbert space of three-dimensional vector functionsnumber of eigenvalues estimated from abovereduces to investigation of spectral properties of self- adjoint quadratic pencil of operatorsseparating variables

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Estimates of eigenvalues in context of PDEs (35P15) Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (4)

On the reducibility of a linear differential equation with odd almost-periodic coefficients ⋮ Reducibility of a linear system of differential equations with odd almost-periodic coefficients ⋮ Integration of almost-periodic functions and infinite-dimensional theory of diophantine approximations ⋮ Rectification of integral curves of a system of different equations on an infinite-dimensional torus

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