查询词典 compactification theorem

Study about the first mean value theorem for integrals,which obtain a new results on the mean value asymptotic behavior.

研究积分第一中值定理，获得了其中值渐近性的一个新结果。

This paper is devoted to studying the asymptotic behavior of the intermediate point in the mean value theorem for first form curve integrals.

摘要讨论了第一类曲线积分中值定理"中间点"的渐近性质，得到了更具一般性的新结果。

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

The paper studies the asymptotic behavior of "interior point" on the second mean value theorem for integrals when the length of integral interval tends to be infinite,and the asymptotic estimation formulas under very weak conditions are given.

讨论当积分区间长度趋于无穷大时，积分第二中值定理的"中间点"的渐近性态，在较弱的条件下，获得积分第二中值定理的"中间点"当积分区间长度趋于无穷大时的渐近估计式。

Furthermore, based on the Lyapunov stability theorem, asymptotic stability results can be obtained.

此外，根据Lyapunov稳定理论，我们将能得到渐进稳定的结果。

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。

This paper consists of three parts:We first consider the non-autonomous predator-prey system with both Beddirigton-DeAngelis functional response and dispersion. By using comparison theorem of differential equation, we study the permanance of the system. After that, by constructing suitable Lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system.

本文研究三方面的内容：第一部分考虑具有扩散和Beddington—DeAngelis功能反应的捕食-食饵系统，利用微分方程比较原理得到该系统一致持续生存的条件；通过构造适当的Lyapunov函数得到了该系统存在全局渐近稳定概周期解的充分条件。

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。

I can not negligent, he should do what?

我不能不在意了，他要做什么呢？

It is very dangerous to swim in the river alone.

一个人到河里游泳是很危险的。