A computational investigation of an integro-differential inequality with periodic potential

Brown, Brian Malcolm ORCID: https://orcid.org/0000-0002-2871-6591 and Kirby, V. G. 2000. A computational investigation of an integro-differential inequality with periodic potential. Journal of Inequalities and Applications 5 (4) , pp. 321-342. 10.1155/S1025583400000163

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Abstract

This paper is concerned with a certain integral inequality whose associated differential expression contains a periodic potential. In these problems the spectrum consists of bands which may have eigenvalues in the gaps. We use numerical methods to estimate the location of these bands and position of the eigenvalues and use this information to produce new examples of the HELP inequality.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Publisher:	Hindawi Publishing Corporation
ISSN:	1029-242X
Date of First Compliant Deposit:	30 March 2016
Last Modified:	04 May 2023 05:21
URI:	https://orca.cardiff.ac.uk/id/eprint/13564

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