stability conditions of equilibrium

An accurate method for slope stability analysis is provided in this paper, with which the equilibrium of force and moment, and the yield conditions on the sliding plane will be reached.

本文对一般性边坡，给出了满足力与力矩平衡及滑动面上屈服条件的稳定性的精确分析方法。

We respectively obtain sufficient conditions of no limit cycle and the global stability of positive equilibrium point by using of Dulac function method and Liapunov function method.

运用Dulac函数法和构造恰当的Liapunov函数法，分别得到了系统无环的充分条件和正平衡点全局稳定性的充分条件。

By constructing a Lyapunov function, the sufficient conditions for global stability of the positive equilibrium are obtained. ( 2) Coupled oscillator systems with delayed feedback is considered, when angular frequency is a constant.

通过构造李雅普诺夫泛函，给出了模型正平衡点全局稳定性的充分条件。（2）在角频率相同的条件下，对一类时间延迟耦合振荡器模型进行了研究。

Sufficient and Necessary Conditions for the Stability of Equilibrium Points in the Perturbed Circular Restricted Three-Body Problem and Applications

有摄圆型限制性三体问题平动点稳定的充要条件及应用

Conditions for global stability of boundary equilibrium and conditionsof prey and predator are obtained.

得到了食饵两性具有不同的出生率和死亡率时,边界平衡点全局稳定的条件及食饵和捕食者一致持续生存的条件.