关于位势系统周期函数的单调性准则
On the monotonicity criteria of the period function of potential systems
摘要：
研究了中心在原点0的势系统$\ddot x + g(x)=0$的周期函数$T(c)$（能量相关）的各种单调性条件。我们之前已经确定了一系列由$(C_n)$指出的新标准，这些标准有时比以前已知的标准更细（{ \it周期函数和等电位特征} \quad arXiv：1109.4611）。这一事实将通过实例加以说明。
英文摘要：
The purpose of this paper is to study various monotonicity conditions of the period function $T(c)$ (energy-dependent) for potential systems $\ddot x + g(x)=0$ with a center at the origin 0. We had before identified a family of new criteria noted by $(C_n)$ which are sometimes thinner than those previously known ({\it Period function and characterizations of Isochronous potentials}\quad arXiv:1109.4611). This fact will be illustrated by examples.
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。
