定理

The present paper presents a general existence result of periodic solutions for functional differential inclusion with nonconvex right side by means of the asymptotic fixed point theorem.

用Horn渐近不动点定理，给出具非凸右端函数的泛函微分包含问题周期解存在性的一般性结果。

In the paper,generalized forms for Cauchy s mean value theorem ab ou t complex function are given,asymptotic behaviors of the intermediate point as z→z 0 are discussed.

给出了复分析中中值定理更一般的形式，并讨论了当 z→z0 时中值点的渐近

Lyapunov stability theory was used to prove the asymptotic stability of the closed-loop control system.

对该控制律，利用Lyapunov稳定性定理证明了闭环系统的渐近稳定性。

Here′s a continuous study about paper of Cai-ping Yang,Yan-nuan Jia and otherwise on the asymptotic behavior of the intermediate value in the value theorem for integrals as the length of integral interval tends to zero.

继续杨彩萍、贾云暖等人对积分中值定理的中值当区间长度趋于零时的渐近性研究，这里又得到系列新结果。

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。

By the corollary to Theorem 4.3, the origin is asymptotically stable.

根据定理4.3的推论，原点是渐近稳定的。

Using high-speed ADC front-end to cover a given monitor bandwidth, carrier frequency at a rough estimate and considering some of the protection zone, use less uniform bandpass sampling theorem interpolation line drawn in order to get the signal after subsampling.

详细说明：利用前端高速ADC来覆盖给定的监视带宽，在粗略估计载频并考虑一定的保护带，利用带通信号的均匀欠采样定理行内插抽取，以获得欠采样后的信号。

This inspires us to use the method of localization at infinity of space to study the relevant index problems of coarse geometry.

用这种空间局部化方法，我们构造了新的指标代数并研究了相应的指标定理。

The main results in this chapter are as follows:Theorem 2.1.2Let〓be a countable atomic model.If〓is infinite,then〓is a countable atomic model.

本章的主要结果有：定理2.1.2若〓是可数的原子模型，〓不是〓的代数公式，则〓也是可数的原子模型。

Firstly, The sufficient con-ditions of the existence and uniquity of the positive equlibria by applying functional derivative isobtained; Secondly, the global attractability of the positive equlibria is investigated by charateristicroots theory and oscillation theory; Thirdly, regarding the delay as a parameter, conditions of theexistence of Hopf bifurcation and the peridic solution, furthermore, the form of the approximateperidic solution are obtained; Finally, Some specific examples are given and the solution diagrameappears by Matlab.

首先利用导数性质，得到了该模型正平衡态存在惟一性的充分条件；其次，利用特征值和振动性理论得到了该模型正平衡态全局渐近稳定性充分条件；然后，应用Hopf分支理论证明了该模型Hopf分支及近似分支周期解的存在性，并给出了周期解的近似表达式；最后，借助于MATLAB数学软件，举例并绘出了模型数值解的拟合图象，验证了文中定理条件的可行性。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。