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math.OC2016
Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's quantum calculus
Frédéric Pierret, Delfim F. M. Torres
We derive the Helmholtz theorem for nondifferentiable Hamiltonian systems in the framework of Cresson's quantum calculus. Precisely, we give a theorem characterizing nondifferentia…
math.OC2014★ 3 cited
Helmholtz theorem for Hamiltonian systems on time scales
Frédéric Pierret
We derive the Helmholtz theorem for Hamiltonian systems defined on time scales in the context of nonshifted calculus of variations which encompass the discrete and continuous case.…