Asymptotic distribution of the spectrum of an abstract operator-function and some applications of it
type: Item
instance of: scholarly article
title: Asymptotic distribution of the spectrum of an abstract operator-function and some applications of it
zbMATH Open document ID: 0569.47020
DOI: 10.1007/BF00969503
author: V. A. Avakyan
published in: Siberian Mathematical Journal
publication date: 1984-01-01T00:00:00Z
review text: The paper studies asymptotic distribution of the spectrum of linear and polynomial pencils of operators perturbed by an analytic operator function in an infinite sector. These are used to investigate the asymptotics of spectrum of boundary values for partial differential equations which depend on spectral parameter in nonlinear way.
Mathematics Subject Classification ID: 47A56
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 3909144
zbMATH Keywords: asymptotic distribution of the spectrum of linear and polynomial pencils of operators perturbed by an analytic operator function in an infinite sector
zbMATH Keywords: spectrum of boundary values for partial differential equations which depend on spectral parameter in nonlinear way
reviewed by: P. C. Sinha
MaRDI profile type: Publication
cites work: Q5638840
cites work: Q5571194
cites work: Q5631640
cites work: AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
cites work: Q4110025
cites work: Q4765000
cites work: Q3280274
description: scientific article; zbMATH DE number 3909144