Lower bounds for the spectrum of ordinary differential operators
type: Item
instance of: scholarly article
title: Lower bounds for the spectrum of ordinary differential operators
zbMATH Open document ID: 0573.34020
DOI: 10.1016/0022-0396(83)90062-1
author: Man Kam Kwong
author: W. D. Evans
author: Anton Zettl
published in: Journal of Differential Equations
publication date: 1983-01-01T00:00:00Z
review text: A special type of linear differential equations of even order is investigated. First, conditions for the associated minimal operator \(T_ 0\) to be bounded below are given and lower bounds for its Friedrich's extension as well as for the essential spectrum of self-adjoint extensions of \(T_ 0\) are given. From these bounds discreteness criteria for the spectrum are derived as are extensions of earlier results (of various authors).
Mathematics Subject Classification ID: 34L99
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 3914755
zbMATH Keywords: linear differential equations of even order
zbMATH Keywords: Friedrich's extension
reviewed by: Inge Troch
MaRDI profile type: Publication
full work available at URL: 0022-0396(83)90062-1
OpenAlex ID: W2031454882
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description: scientific article; zbMATH DE number 3914755