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http://hdl.handle.net/10773/4112| Title: | The Hahn Quantum Variational Calculus |
| Author: | Malinowska, A.B. Torres, D.F.M. |
| Keywords: | Calculus of variations Hahn's difference operator Jackson-Norlünd's integral Leitmann's principle Quantum calculus Ramsey model |
| Issue Date: | 2010 |
| Publisher: | Springer Verlag |
| Abstract: | We introduce the Hahn quantum variational calculus. Necessary and sufficient optimality conditions for the basic, isoperimetric, and Hahn quantum Lagrange problems, are studied. We also show the validity of Leitmann's direct method for the Hahn quantum variational calculus, and give explicit solutions to some concrete problems. To illustrate the results, we provide several examples and discuss a quantum version of the well known Ramsey model of economics. © 2010 Springer Science+Business Media, LLC. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/4112 |
| ISSN: | 0022-3239 |
| Appears in Collections: | DMat - Artigos |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| [187]JOTA_The_Hahn_quantum_variational_calculus.pdf | 537.42 kB | Adobe PDF |  |
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