Simplicity and spectrum of singular Hamiltonian systems of arbitrary order
type: Item
instance of: scholarly article
title: Simplicity and spectrum of singular Hamiltonian systems of arbitrary order
zbMATH Open document ID: 1298.47010
DOI: 10.1155/2013/202851
author: Huaqing Sun
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: The paper is concerned with singular Hamiltonian systems of arbitrary order with arbitrary equal defect indices. It is proved that the minimal operator generated by the Hamiltonian system is simple. As a consequence, a sufficient condition is obtained for the continuous spectrum of every self-adjoint extension of the minimal operator to be empty in some interval and for the spectrum to be nowhere dense in this interval in terms of the numbers of linearly independent square integrable solutions.
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34L05
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 6306521
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/202851
OpenAlex ID: W2137453748
Wikidata QID: Q58915528
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description: scientific article; zbMATH DE number 6306521