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 The Hahn Quantum Variational Calculus
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/4112

title: The Hahn Quantum Variational Calculus
authors: 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.
URI: http://hdl.handle.net/10773/4112
ISSN: 0022-3239
source: Journal of Optimization Theory and Applications
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