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arXiv · 1601.02602

Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's quantum calculus

Frédéric Pierret·Delfim F. M. Torres
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Abstract

We derive the Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's quantum calculus. Precisely, we give a theorem characterizing nondifferentiable equations, admitting a Hamiltonian formulation. Moreover, in the affirmative case, we give the associated Hamiltonian.

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Frédéric Pierret, Delfim F. M. Torres. 2016-05-18. Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's quantum calculus. https://doi.org/10.1155/2016%2F8073023

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