On spectra of quadratic operator pencils with rank one gyroscopic linear part

The spectrum of a selfadjoint quadratic operator pencil of the form \(\lambda^2M-\lambda G-A\) is investigated where \(M\geq 0\), \(G\geq 0\) are bounded operators and \(A\) is selfadjoint bounded below is investigated. It is shown that in the case of rank one operator \(G\) the eigenvalues of such...

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Bibliographic Details
Main Authors: Olga Boyko, Olga Martynyuk, Vyacheslav Pivovarchik
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2018-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol38/4/art/opuscula_math_3822.pdf