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Article overview
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Hahn's Symmetric Quantum Variational Calculus | Artur M. C. Brito da Cruz
; Natalia Martins
; Delfim F. M. Torres
; | Date: |
7 Sep 2012 | 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
condition 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. | Source: | arXiv, 1209.1530 | Services: | Forum | Review | PDF | Favorites |
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