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http://hdl.handle.net/10773/11874
Title: | Hahn's symmetric quantum variational calculus |
Author: | Brito da Cruz, A. M. C. Martins, N. Torres, D. F. M. |
Keywords: | Calculus of variations Euler-Lagrange difference equations Hahn's symmetric calculus Leitmann's principle Quantum calculus |
Issue Date: | 2013 |
Publisher: | American Institute of Mathematical Sciences (AIMS) |
Abstract: | We introduce and develop the Hahn symmetric quantum calculus with applications to the calculus of variations. Namely, we obtain a necessary optimality condition of Euler{Lagrange type and a sufficient optimality condi- tion for variational problems within the context of Hahn's symmetric calculus. Moreover, we show the effectiveness of Leitmann's direct method when applied to Hahn's symmetric variational calculus. Illustrative examples are provided. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/11874 |
DOI: | 10.3934/naco.2013.3.77 |
ISSN: | 2155-3289 |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[246]Brito-da-Cruz_Martins_Torres_NACO.pdf | 401.43 kB | Adobe PDF | View/Open |
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