充分条件

Presented the sufficient conditions of stability and proof. Simulation re...

给出了该方法稳定性的充分条件，通过仿真验证了此方法的有效性。

In the first section of the part three, the criteria for globally stable equilibrium in n-dimensional predator-prey model are obtained.

第三部分对生态问题的研究第一节利用二次型理论研究了一类n维环状自治系统有密度制约模型，得到了判别此类系统稳定平衡点的充分条件。

Based on refrence,the relationship between convexity and strict convexity of fuzzy mapping is discussed and the result that convex fuzzy mapping is the sufficient condition for strictly convex fuzzy mapping is obtained.

在已有文献的基础上，讨论了模糊映射的凸性和严格凸性之间的关系，得到了凸模糊映射为严格凸模糊映射的充分条件。

A sufficient condition for global synchronization is derived by developing a strict linear matrix inequality designed approach.

应用线性矩阵不等式方法，给出了网络全局同步的充分条件。

Moreover,we provide sufficient conditions for the existence of harmonicsolution and subharmonic solutions for equations with jumping non-linearities.

另外，还给出了具有跳跃非线性项的Duffing型方程存在调和解和次调和解的充分条件。

In this paper, Melnikov's method is used to discuss a dass of equation governed by flickering on catalytic wires and in chemical reactor, the conditions of the existence of subharmonic bifurcation are obtained.

研究一类描述催化反应的flickering现象的动力系统，应用Melnikov方法对三种不同情形分别给出了系统存在次谐分枝的某些充分条件。

The purpose of chapter 4 is to study a predator-prey model with sublinear functional response function and sublinear density control function. Some results dealing with stability of equilibrium, nonexistence , existence as well as uniqueness of the limit cycle around the positive equilibrium of the model are obtained.

第4章分析了一类食饵的相对增长率和功能反应函数均为次线性函数的食饵-捕食者模型，通过分析，得到了该系统的正平衡点全局稳定和存在惟一极限环的充分条件。

The theoretical analysis are verified by numerical simulations.Chapter 3 mainly considers a class of predator-prey model with sublinear functional response function. We deduce some sufficient conditions ensuring stability of equilibrium, nonexistence , existence as well as uniqueness of the limit cycle around the positive equilibrium.

第3章研究了一类食饵为线性密度制约，功能反应函数为次线性函数的食饵-捕食者模型，完整地对模型的平衡点的全局稳定性和极限环的存在惟一性进行了定性分析，得到了该系统不存在闭轨线，正平衡点全局稳定和存在惟一稳定的极限环的充分条件。

Three sufficient conditions are given for pseudo-umbilical submanifold to be a totally umbilical submanifold in constant space.

给出了这种伪脐子流形是全脐子流形的3个充分条件。

We still study a complete noncompact space-like submanifold ina pseudo-Euclidean space R_p~, and obtain some sufficient conditions for thespace-like submanifold to have finite many ends in this thesis.

本文还获得了伪欧氏空间R_p~中完备非紧的类空子流形具有有限个端的充分条件。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！