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http://hdl.handle.net/10773/14652
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Santos, S. P. S. | pt |
dc.contributor.author | Martins, N. | pt |
dc.contributor.author | Torres, D. F. M. | pt |
dc.date.accessioned | 2015-09-17T09:26:18Z | - |
dc.date.issued | 2015-09 | - |
dc.identifier.issn | 1078-0947 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/14652 | - |
dc.description.abstract | We extend the DuBois-Reymond necessary optimality condition and Noether's first theorem to variational problems of Herglotz type with time delay. Our results provide, as corollaries, the DuBois-Reymond necessary optimality condition and the first Noether theorem for variational problems with time delay recently proved in [Numer. Algebra Control Optim. 2(2012), no. 3, 619-630]. Our main result is also a generalization of the first Noether-type theorem for the generalized variational principle of Herglotz proved in [Topol. Methods Nonlinear Anal. 20(2002), no. 2, 261-273]. | pt |
dc.language.iso | eng | pt |
dc.publisher | American Institute of Mathematical Sciences (AIMS) | pt |
dc.relation | CIDMA/FCT - UID/MAT/04106/2013 | pt |
dc.relation | info:eu-repo/grantAgreement/EC/FP7/264735 | pt |
dc.relation | FCT/FEDER - PTDC/EEI-AUT/1450/2012, with COMPETE reference FCOMP-01-0124-FEDER-028894 | pt |
dc.rights | restrictedAccess | por |
dc.subject | DuBois-Reymond necessary optimality condition | pt |
dc.subject | Euler-Lagrange differential equations | pt |
dc.subject | Herglotz's calculus of variations | pt |
dc.subject | Invariance | pt |
dc.subject | Noether's theorem | pt |
dc.subject | Time delay | pt |
dc.title | Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
ua.event.title | Discrete and Continuous Dynamical Systems- Series A | |
degois.publication.firstPage | 4593 | pt |
degois.publication.issue | 9 | |
degois.publication.issue | 9 | pt |
degois.publication.lastPage | 4610 | pt |
degois.publication.title | Discrete and Continuous Dynamical Systems - Series A | pt |
degois.publication.volume | 35 | pt |
dc.date.embargo | 10000-01-01 | - |
dc.identifier.doi | 10.3934/dcds.2015.35.4593 | pt |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[319]Santos_Martins_Torres_DCDS-A.pdf | 390.61 kB | Adobe PDF |
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