Titchmarsh's asymptotic formula for periodic eigenvalues and an extension to the p-Laplacian

Brown, Brian Malcolm ORCID: https://orcid.org/0000-0002-2871-6591 and Eastham, M. S. P. 2008. Titchmarsh's asymptotic formula for periodic eigenvalues and an extension to the p-Laplacian. Journal of Mathematical Analysis and Applications 338 (2) , pp. 1255-1266. 10.1016/j.jmaa.2007.06.017

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Abstract

An asymptotic formula for periodic eigenvalues, due to Titchmarsh, is taken to a higher degree of accuracy using a Prüfer transformation method, not depending on Floquet theory. With the idea of the rotation number, this method is then extended to the p-Laplacian.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords:	Periodic eigenvalues; Prüfer transformation; p-Laplacian; Rotation number
Publisher:	Elsevier
ISSN:	0022-247X
Last Modified:	18 Oct 2022 13:20
URI:	https://orca.cardiff.ac.uk/id/eprint/13554

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