Hahn's symmetric quantum variational calculus
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 calculu...
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| Other Authors: | , |
| Format: | article |
| Language: | eng |
| Published: |
2014
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10773/11874 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/11874 |
| Summary: | 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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