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