The spectra of two-parameter quadratic operator pencils

DOI10.1016/J.MCM.2011.03.018zbMath1239.47011OpenAlexW2165696409MaRDI QIDQ646139

Juan-Miguel Gracia

Publication date: 11 November 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.03.018

zbMATH Keywords

variational principleseigenvaluescritical pointswaveguidesoperator pencils

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Applications of operator theory to differential and integral equations (47N20) Matrix pencils (15A22)

Related Items (3)

Unnamed Item ⋮ A survey on variational characterizations for nonlinear eigenvalue problems ⋮ Variational Principles for Eigenvalues of Nonlinear Eigenproblems

Cites Work

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• Trapped waves in thin elastic plates
• On perturbation theory for points of discrete spectrum of dissipative operator functions
• A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration.
• Eigenvalues of two parameter polynomial operator pencils of waveguide type
• Problem of oscillations of an elastic half cylinder and related self- adjoint quadratic pencils
• Pencils of waveguide type and related extremal problems
• On some mathematical principles in the linear theory of damped oscillations of continua I
• Operator functions and localization of spectra
• A variational principle in Krein space. II
• Perturbation theory for linear operators.
• A minimax principle for nonoverdamped systems
• Variational principles for eigenvalues of self-adjoint operator functions
• Das Spektrum von Operatorscharen mit verallgemeinerten Rayleighquotienten
• A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems
• On the spectrum of a weak class of operator pencils of waveguide type
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen

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