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<p>A generalization of the equations of discrete mechanics for unconstrained mechanical systems is proposed. The generalized equations are the dynamic equations on the time scale that are obtained by minimizing the action functional, which is the time-scale integral of the Lagrangian function defined on the time scale.</p>

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Dynamic Equations of Motion of Unconstrained Mechanical Systems on Time Scale

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • S. V. Babenko,
  • A. A. Martynyuk,
  • O. E. Arlekinova,
  • A. V. Honcharenko

摘要

A generalization of the equations of discrete mechanics for unconstrained mechanical systems is proposed. The generalized equations are the dynamic equations on the time scale that are obtained by minimizing the action functional, which is the time-scale integral of the Lagrangian function defined on the time scale.