A variational method for eigenvalue problems nonlinearly dependent on the spectral parameter

RI Andrushkiw; VV Slastikov

A variational method for eigenvalue problems nonlinearly dependent on the spectral parameter

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Abstract

Eigenvalue problems involving polynomial operator pencils with unbounded symmetrizable operators are investigated in a suitable Hilbert space, and a variational method for approximating the eigenvalue of the problem is developed, which extends some of the results previously obtained for eigenvalue problems with quadratic or polynomial operator pencils. The theory is illustrated with a numerical example.

Original language	English
Pages (from-to)	3561-3566
Number of pages	6
Journal	Nonlinear Analysis: Theory, Methods and Applications
Volume	47
Issue number	5
Publication status	Published - Aug 2001
Event	3rd World Congress of Nonlinear Analysts - CATANIA, Italy Duration: 19 Jul 2000 → 26 Jul 2000

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@article{73ceb8387cee4801ac04383fef7cc28e,

title = "A variational method for eigenvalue problems nonlinearly dependent on the spectral parameter",

abstract = "Eigenvalue problems involving polynomial operator pencils with unbounded symmetrizable operators are investigated in a suitable Hilbert space, and a variational method for approximating the eigenvalue of the problem is developed, which extends some of the results previously obtained for eigenvalue problems with quadratic or polynomial operator pencils. The theory is illustrated with a numerical example.",

author = "RI Andrushkiw and VV Slastikov",

year = "2001",

month = aug,

language = "English",

volume = "47",

pages = "3561--3566",

journal = "Nonlinear Analysis: Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Limited",

number = "5",

note = "3rd World Congress of Nonlinear Analysts ; Conference date: 19-07-2000 Through 26-07-2000",

}

TY - JOUR

T1 - A variational method for eigenvalue problems nonlinearly dependent on the spectral parameter

AU - Andrushkiw, RI

AU - Slastikov, VV

PY - 2001/8

Y1 - 2001/8

N2 - Eigenvalue problems involving polynomial operator pencils with unbounded symmetrizable operators are investigated in a suitable Hilbert space, and a variational method for approximating the eigenvalue of the problem is developed, which extends some of the results previously obtained for eigenvalue problems with quadratic or polynomial operator pencils. The theory is illustrated with a numerical example.

AB - Eigenvalue problems involving polynomial operator pencils with unbounded symmetrizable operators are investigated in a suitable Hilbert space, and a variational method for approximating the eigenvalue of the problem is developed, which extends some of the results previously obtained for eigenvalue problems with quadratic or polynomial operator pencils. The theory is illustrated with a numerical example.

M3 - Article (Academic Journal)

SN - 0362-546X

VL - 47

SP - 3561

EP - 3566

JO - Nonlinear Analysis: Theory, Methods and Applications

JF - Nonlinear Analysis: Theory, Methods and Applications

IS - 5

T2 - 3rd World Congress of Nonlinear Analysts

Y2 - 19 July 2000 through 26 July 2000

ER -

A variational method for eigenvalue problems nonlinearly dependent on the spectral parameter

Abstract

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