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

Opuscula Mathematica ◽

10.7494/opmath.2018.38.4.483 ◽

2018 ◽

Vol 38 (34) ◽

pp. 483

Author(s):

Olga Boyko ◽

Olga Martynyuk ◽

Vyacheslav Pivovarchik

Keyword(s):

Linear Part ◽

Quadratic Operator ◽

Rank One ◽

Operator Pencils

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On spectra of a certain class of quadratic operator pencils with one-dimensional linear part

Ukrainian Mathematical Journal ◽

10.1007/s11253-007-0049-5 ◽

2007 ◽

Vol 59 (5) ◽

pp. 766-781 ◽

Author(s):

V. N. Pivovarchik

Keyword(s):

Linear Part ◽

Quadratic Operator ◽

One Dimensional ◽

Operator Pencils

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Property of the eigenvectors of quadratic operator pencils of being a basis

Mathematical Notes ◽

10.1007/bf01141624 ◽

1981 ◽

Vol 30 (3) ◽

pp. 676-684 ◽

Author(s):

A. A. Shkalikov

Keyword(s):

Quadratic Operator ◽

Operator Pencils

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On the spectra of some classes of quadratic operator pencils

Contributions to Operator Theory in Spaces with an Indefinite Metric ◽

10.1007/978-3-0348-8812-7_2 ◽

1998 ◽

pp. 23-36 ◽

Author(s):

V. Adamyan ◽

V. Pivovarchik

Keyword(s):

Quadratic Operator ◽

Operator Pencils

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The spectra of two-parameter quadratic operator pencils

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.03.018 ◽

2011 ◽

Vol 54 (1-2) ◽

pp. 742-755 ◽

Author(s):

M. Hasanov

Keyword(s):

Quadratic Operator ◽

Two Parameter ◽

Operator Pencils

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Basic properties of normal waves of regular waveguides associated with quadratic operator pencils

Spectral Theory of Guided Waves ◽

10.1201/9781003209645-2 ◽

2021 ◽

pp. 20-52

Author(s):

Yu I Kopilevich

Keyword(s):

Quadratic Operator ◽

Basic Properties ◽

Normal Waves ◽

Operator Pencils

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Behaviour of eigenwaves of regular waveguides associated with quadratic operator pencils under variation of their frequency or wavenumber

Spectral Theory of Guided Waves ◽

10.1201/9781003209645-4 ◽

2021 ◽

pp. 76-126

Author(s):

Yu I Kopilevich

Keyword(s):

Quadratic Operator ◽

Operator Pencils

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Spectrum of normal waves of regular waveguides associated with quadratic operator pencils

Spectral Theory of Guided Waves ◽

10.1201/9781003209645-3 ◽

2021 ◽

pp. 53-75

Author(s):

Yu I Kopilevich

Keyword(s):

Quadratic Operator ◽

Normal Waves ◽

Operator Pencils

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Compact perturbation of definite type spectra of self-adjoint quadratic operator pencils

Integral Equations and Operator Theory ◽

10.1007/bf01195813 ◽

2001 ◽

Vol 39 (2) ◽

pp. 127-152 ◽

Author(s):

V. Adamjan ◽

H. Langer ◽

M. M�ller

Keyword(s):

Compact Perturbation ◽

Quadratic Operator ◽

Operator Pencils

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Quadratic operator pencils associated with the conservative Camassa-Holm flow

Bulletin de la Société mathématique de France ◽

10.24033/bsmf.2731 ◽

2017 ◽

Vol 145 (1) ◽

pp. 47-95 ◽

Author(s):

Jonathan Eckhardt ◽

Aleksey Kostenko

Keyword(s):

Quadratic Operator ◽

Operator Pencils

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A Sturm–Liouville theorem for quadratic operator pencils

Journal of Differential Equations ◽

10.1016/j.jde.2019.10.010 ◽

2020 ◽

Vol 268 (7) ◽

pp. 3848-3879

Author(s):

Alim Sukhtayev ◽

Kevin Zumbrun

Keyword(s):

Liouville Theorem ◽

Quadratic Operator ◽

Sturm Liouville ◽

Operator Pencils

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