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Using Floquet theory and small amplitude perturbation method, we prove thatthe microorganism-eradication periodic solution is asymptotically stable if the impulsive periodsatisfies some conditions.

利用Floquet理论和小振幅干扰的方法证明脉冲周期满足一定条件时，微生物灭绝周期解是渐近稳定的。

Secondly, by linearizing the system at the unique positive equilibrium solution and analyzing the associated characteristic equation, it is found that the positive equilibrium solution is asymptotically stable when the delay equals to zero and when it is increased to certain critical value, the positive equilibrium solution will loss the stability and a spatially heterohomogeneous periodic solution will bifurcate from this positive equilibrium solution.

通过在系统唯一的正平衡解处线性化系统和分析相应的特征方程，发现在时滞等于零时该正平衡解是渐近稳定的，当时滞逐渐增大到某个临界值时该正平衡解将失去稳定性而且在该平衡解处分支出空间非齐次的周期解。

With the help of comparison theorem, sufficient conditions which guarantee permanence of the system are obtained. For the almost periodic case, by constructing a suitable Liapunov function, we obtained that the system has a unique globally asymptotically stable positive almost periodic solution. Finally, we study a multispecies predator-prey system with stage structure and Holling II type functional response.

第二部分考虑具有阶段结构的非自治扩散捕食系统，利用比较定理得到该系统持久生存的充分条件，其后在概周期情形下通过构造合适的Liapunov函数得到了保证该系统存在唯一一个全局渐近稳定的概周期解的条件。

B=-3. 0 and h=0.25 a=-1. 5, b=-1. 4 and h=0.5. We see that for both the sets of data, BDF method of second order applied to delay differential equation gives an asymptotically stable solution i.

对于这两组数据而言，二阶BDF方法为延迟微分方程给出了渐近稳定解，即当n→∞时，y〓→0。

These conditions can be used to design globally asymptotically stable and globally exponentially stable networks.

这些条件可以用于设计全局渐近稳定和全局指数稳定的神经网络。

It is shown that if R01, it is unstable, but the endemic equilibrium is locally asymptotically stable.

并证明了，如果R01，则它是不稳定的，但是，地方病平衡点是局部渐近稳定的。

The final asymptotically stable system can be linear or nonlinear.

所得到的渐近稳定系统既可以是线性的，也可以是非线性的。

The obtained controller enables the closed-loop systems to be stable asymptotically and to achieve the given H performance.

所获得的控制器使闭环系统渐近稳定，并达到了给定的H性能指标。

The designed controller guarantees the closed-loop system to be asymptotically stable and possesses good operation.

所设计的控制器可确保闭环系统渐近稳定，且具有良好的可操作性。

Under some additional assumptions, the whole system is semi-global asymptotically stable.

在适当的假设下，得到了系统的半全局渐近稳定。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。