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http://hdl.handle.net/10773/11798
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Girejko, E. | pt |
dc.contributor.author | Malinowska, A.B. | pt |
dc.contributor.author | Torres, D.F.M. | pt |
dc.date.accessioned | 2014-02-12T11:26:25Z | - |
dc.date.issued | 2012 | - |
dc.identifier.issn | 0233-1934 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/11798 | - |
dc.description.abstract | The calculus of variations on time scales is considered. We propose a new approach to the subject that consists of applying a differentiation tool called the contingent epiderivative. It is shown that the contingent epiderivative applied to the calculus of variations on time scales is very useful: it allows to unify the delta and nabla approaches previously considered in the literature. Generalized versions of the Euler-Lagrange necessary optimality conditions are obtained, both for the basic problem of the calculus of variations and isoperimetric problems. As particular cases one gets the recent delta and nabla results. © 2012 Taylor and Francis Group, LLC. | pt |
dc.language.iso | eng | pt |
dc.publisher | Taylor & Francis | pt |
dc.rights | restrictedAccess | por |
dc.subject | Calculus of variations | pt |
dc.subject | Contingent derivative | pt |
dc.subject | Contingent epiderivative | pt |
dc.subject | Delta and nabla calculi | pt |
dc.subject | Euler-Lagrange equations | pt |
dc.subject | Time scales | pt |
dc.title | The contingent epiderivative and the calculus of variations on time scales | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 251 | pt |
degois.publication.issue | 3 | |
degois.publication.issue | 3 | pt |
degois.publication.lastPage | 264 | pt |
degois.publication.title | Optimization: a Journal of Mathematical Programming and Operations Research | pt |
degois.publication.volume | 61 | pt |
dc.date.embargo | 10000-01-01 | - |
dc.identifier.doi | 10.1080/02331934.2010.506615 | pt |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[175]epi_CV_Gir_Mal_Tor_ICCA2010.pdf | 166.34 kB | Adobe PDF |
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