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arXiv 1003.1840math.DGmath-phmath.MP
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关于具有耗散力的Lagrange系统的广义Helmholtz条件

On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces

M. Crampin, T. Mestdag, W. Sarlet

摘要:

在最近的两篇文章中,我们得到了二阶常微分方程具有附加耗散力的拉格朗日形式的充要条件。我们指出这些条件不是独立的,并相应地证明了一个更强的结果。

英文摘要:

In two recent papers necessary and sufficient conditions for a given system of second-order ordinary differential equations to be of Lagrangian form with additional dissipative forces were derived. We point out that these conditions are not independent and prove a stronger result accordingly.

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。

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