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http://hdl.handle.net/10773/4063
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Martins, N. | pt |
dc.contributor.author | Torres, D.F.M. | pt |
dc.date.accessioned | 2011-09-30T14:31:23Z | - |
dc.date.issued | 2011 | - |
dc.identifier.issn | 0898-1221 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/4063 | - |
dc.description.abstract | We prove necessary optimality conditions of EulerLagrange type for generalized problems of the calculus of variations on time scales with a Lagrangian depending not only on the independent variable, an unknown function and its delta derivative, but also on a delta indefinite integral that depends on the unknown function. Such kinds of variational problems were considered by Euler himself and have been recently investigated in [J. Gregory, Generalizing variational theory to include the indefinite integral, higher derivatives, and a variety of means as cost variables, Methods Appl. Anal. 15 (4) (2008) 427435]. Our results not only provide a generalization to previous results, but also give some other interesting optimality conditions as special cases. © 2011 Elsevier Ltd. All rights reserved. | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | dx.doi.org/10.1016/j.camwa.2011.02.022 | pt |
dc.relation.uri | http://www.scopus.com/inward/record.url?eid=2-s2.0-79955479977&partnerID=40&md5=8aa33d229f0321d45313726fb59b0cc6 | - |
dc.rights | restrictedAccess | pt |
dc.subject | Calculus of variations | pt |
dc.subject | EulerLagrange equations | pt |
dc.subject | Isoperimetric problems | pt |
dc.subject | Natural boundary conditions | pt |
dc.subject | Time scales | pt |
dc.title | Generalizing the variational theory on time scales to include the delta indefinite integral | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 2424 | pt |
degois.publication.issue | 9 | - |
degois.publication.issue | 9 | pt |
degois.publication.lastPage | 2435 | pt |
degois.publication.title | Computers and Mathematics with Applications | pt |
degois.publication.volume | 61 | pt |
dc.date.embargo | 10000-01-01 | - |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[198]Generalizing_variational_theory_ts_delta_indefinite_integral.pdf | 270.07 kB | Adobe PDF |
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