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Abstract: We introduce the Hahn quantum variational calculus. Necessary and sufficientoptimality conditions for the basic, isoperimetric, and Hahn quantum Lagrangeproblems, are studied. We also show the validity of Leitmann-s direct methodfor the Hahn quantum variational calculus, and give explicit solutions to someconcrete problems. To illustrate the results, we provide several examples anddiscuss a quantum version of the well known Ramsey model of economics.



Autor: Agnieszka B. Malinowska, Delfim F. M. Torres

Fuente: https://arxiv.org/



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