The Hahn Quantum Variational Calculus

Malinowska, A.B.; Torres, D.F.M.

Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/4112

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DC Field	Value	Language
dc.contributor.author	Malinowska, A.B.	pt
dc.contributor.author	Torres, D.F.M.	pt
dc.date.accessioned	2011-10-11T11:25:59Z	-
dc.date.issued	2010	-
dc.identifier.issn	0022-3239	pt
dc.identifier.uri	http://hdl.handle.net/10773/4112	-
dc.description.abstract	We introduce the Hahn quantum variational calculus. Necessary and sufficient optimality conditions for the basic, isoperimetric, and Hahn quantum Lagrange problems, are studied. We also show the validity of Leitmann's direct method for the Hahn quantum variational calculus, and give explicit solutions to some concrete problems. To illustrate the results, we provide several examples and discuss a quantum version of the well known Ramsey model of economics. © 2010 Springer Science+Business Media, LLC.	pt
dc.language.iso	eng	pt
dc.publisher	Springer Verlag	pt
dc.relation	dx.doi.org/10.1007/s10957-010-9730-1	pt
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-78049392558&partnerID=40&md5=47390baa65af39864425c76f9b5c5304	-
dc.rights	restrictedAccess	por
dc.subject	Calculus of variations	pt
dc.subject	Hahn's difference operator	pt
dc.subject	Jackson-Norlünd's integral	pt
dc.subject	Leitmann's principle	pt
dc.subject	Quantum calculus	pt
dc.subject	Ramsey model	pt
dc.title	The Hahn Quantum Variational Calculus	pt
dc.type	article	pt
dc.peerreviewed	yes	pt
ua.distribution	international	pt
degois.publication.firstPage	419	pt
degois.publication.issue	3	-
degois.publication.issue	3	pt
degois.publication.lastPage	442	pt
degois.publication.title	Journal of Optimization Theory and Applications	pt
degois.publication.volume	147	pt
dc.date.embargo	10000-01-01	-
Appears in Collections:	DMat - Artigos

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