充分条件

In the second chapter, we consider a kind of Kolmogorov system. The sufficient conditions of nonexistence of the closed orbit and existence of the unique and stable limit cycle are obtained.

第二章讨论了一类Kolmogorov系统，得到了系统无闭轨的充分条件和存在唯一稳定极限环的条件，推广了颜向平，张存华等的结果。

Limit theorems for the integration of function sequence with respect to weak convergence probability measure sequence are proved under the condition of the weak tight, which have been used to research the some convergence of expectant functional sequence,and a sufficient condition for the epi-convergence of expectant functional sequence is obtained.

提出了弱胎紧的概念，并在弱胎紧的条件下证明了函数序列关于弱收敛概率测度序列积分的极限定理，用其研究了期望泛函序列的若干收敛性，得到了期望泛函序列的、上图收敛的一个充分条件。

Also, this dissertation established a sufficient condition for ILC convergence of a class of uncertain nonlinear time varying systems with a discussion on the convergence speed. Furthermore, for a class of linear systems, frequency-domain convergence analysis has been provided for a closed-loop type ILC algorithm with a convergence speed comparison with the conventional Arimoto-type open-loop ILC algorithm.

同时还给出了存在不确定及干扰非线性时变系统迭代学习控制收敛的充分条件，并对闭环迭代学习控制收敛条件和收敛速度进行了频域分析和讨论。

The variational convergence of real function sequence is extended to vector function sequence and the lower semicontinuity of approximating set of weak Pareto solutions of a given multiobjective decision making problem with general constraint set is obtained by using the variational convergence.

本文将函数序列的v－收敛性推广到向量值函数，在v－收敛性的条件下得到了给定的多目标决策问题的近似弱有效解集的下半连续性并给出了若干容易验证的充分条件。

Based on the analysis of this matrix, the constraints for the coefficient matrix were got.

通过对该系数矩阵的分析，得到关於此矩阵的约束条件，并在此基础上，推导了判断此矩阵秩的大小的一个充分条件。

This paper uses contraction mapping approach in order to give sufficient condition for solvability about this kind of matrix equation in given conditions.

文章利用压缩映射思想给出了一类矩阵方程在给定条件下有解的充分条件。

This condition only requires finding a common positive definite matrix in each maximal overlapped-rule group.

在此基础上，提出了一个新的判定系统稳定性的充分条件，该条件仅需在每个最大交叠规则组中分别寻找各自公共的正定矩阵。

In Part 3 we study the mutualism system with several delays Sufficient conditions are obtained for the existence of positive periodic solutions of the system by using the theory of Mawhin coincidence degree .

第三部分考虑了两种群带多时滞的互惠系统我们利用Mawhin重合度理论，得到了系统正周期解的存在性的充分条件，推广了文[28，29]的结果，并且删去[30]的某些条件。

In Part 3 we study the mutualism system with several delaysSufficient conditions are obtained for the existence of positive periodic solutions of the system by using the theory of Mawhin coincidence degree .

第三部分考虑了两种群带多时滞的互惠系统我们利用Mawhin重合度理论，得到了系统正周期解的存在性的充分条件，推广了文[28，29]的结果，并且删去[30]的某些条件。

The purpose of Chapter 4 is to study the solvability of multi-point boundary value problems at resonance, and establishs some existence theorems under nonlinear growth restriction. Our method is based upon the coincidence degree theory. In Section 1, we consider the same sign case, and in Section 2, discuss the non-same sign case.

第四章研究了具共振条件下二阶非线性微分方程多点边值问题解的存在性，通过使用重合度理论和一些分析技巧，建立了一系列解存在的充分条件，其中在第一节考虑了同号情形，在第二节考虑了异号情形。

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％。