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<p>In this paper, we obtain necessary and sufficient conditions for the direct representability of one system of ordinary differential equations in the form of Lagrange–Ostrogradsky equations and construct the corresponding variational principle (the Hamilton–Ostrogradsky action).</p>

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ABOUT THE VARIATIONAL PRINCIPLE FOR ONE SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • S. A. Budochkina ,
  • T. H. Luu

摘要

In this paper, we obtain necessary and sufficient conditions for the direct representability of one system of ordinary differential equations in the form of Lagrange–Ostrogradsky equations and construct the corresponding variational principle (the Hamilton–Ostrogradsky action).