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  • 标题:Helmholtz Theorem for Nondifferentiable Hamiltonian Systems in the Framework of Cresson’s Quantum Calculus
  • 本地全文:下载
  • 作者:Frédéric Pierret ; Delfim F. M. Torres
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2016
  • 卷号:2016
  • DOI:10.1155/2016/8073023
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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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