The HELP inequality for Hamiltonian systems

<p/> <p>We extend the Hardy&#8211;Everitt&#8211;Littlewood&#8211;Polya inequality, hitherto established for 2nth order formally selfadjoint ordinary differential equations, to a wide class of linear Hamiltonian systems. The method follows Dias (Ph.D. thesis, Cardiff: Universi...

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Bibliographic Details
Main Authors: Evans WD, Marletta M, Brown BM
Format: Article
Language:English
Published: SpringerOpen 1999-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://www.journalofinequalitiesandapplications.com/content/4/857576
Description
Summary:<p/> <p>We extend the Hardy&#8211;Everitt&#8211;Littlewood&#8211;Polya inequality, hitherto established for 2nth order formally selfadjoint ordinary differential equations, to a wide class of linear Hamiltonian systems. The method follows Dias (Ph.D. thesis, Cardiff: University of Wales, 1994) but without the Hilbert space setting which he uses.</p>
ISSN:1025-5834
1029-242X