非自治一维机械系统的哈密顿量和拉格朗日量
Hamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems
摘要：
证明了一个非自治的一阶常微分方程组可以用Hamilton形式表示。这里提出的推导使我们能够获得以前已知的结果，如在自治的情况下，无穷多的哈密顿量和亥姆霍兹条件的存在的拉格朗日。
英文摘要：
It is shown that a given non-autonomous system of two first-order ordinary differential equations can be expressed in Hamiltonian form. The derivation presented here allow us to obtain previously known results such as the infinite number of Hamiltonians in the autonomous case and the Helmholtz condition for the existence of a Lagrangian.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
