On the estimations of the small periodic eigenvalues
type: Item
instance of: scholarly article
title: On the estimations of the small periodic eigenvalues
zbMATH Open document ID: 1303.34071
DOI: 10.1155/2013/145967
author: Seza Dinibütün
author: O. A. Veliev
published in: Abstract and Applied Analysis
publication date: 2014-06-20T00:00:00Z
review text: Summary: We estimate the small periodic and semiperiodic eigenvalues of Hill's operator with sufficiently differentiable potential by two different methods. Then using it we give the high precision approximations for the length of \(n\)th gap in the spectrum of Hill-Schrödinger operator and for the length of \(n\)th instability interval of Hill's equation for small values of \(n\). Finally we illustrate and compare the results obtained by two different ways for some examples.
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 34B09
Mathematics Subject Classification ID: 34L20
zbMATH DE Number: 6306060
zbMATH Keywords: Hill's operator
Wikidata QID: Q58915358
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/145967
OpenAlex ID: W2113268030
cites work: Q4774804
cites work: Q3760860
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description: scientific article; zbMATH DE number 6306060