Publicação
Hahn's symmetric quantum variational calculus
| Resumo: | 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. |
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| Autores principais: | Brito da Cruz, A. M. C. |
| Outros Autores: | Martins, N.; Torres, D. F. M. |
| Assunto: | Calculus of variations Euler-Lagrange difference equations Hahn's symmetric calculus Leitmann's principle Quantum calculus |
| Ano: | 2013 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Aveiro |
| Idioma: | inglês |
| Origem: | RIA - Repositório Institucional da Universidade de Aveiro |
| Resumo: | 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. |
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