证明性的

In this paper, A class of diffusion systems with nonlinear source were studied, using comparison theorem and method of upper and lower solutions .

本文利用比较定理与上、下解方法研究了一类具非线性源的扩散系统，证明了该系统整体解的存在性与零解的稳定性，推广了C。

The research of this thesis indicates that to debase the speculation and the swelling stock bubbles of Chinese stock market, the fundamentally measure is to complete the shareholders' voting rights.

本文的研究最终证明，中国股市非均衡状态的根本原因之一即在于投资者投票权的非完备性。

Secondly in§3.2 ,firstly we prove a new fixed point theorem on Banach space,and study the Sturm-Liourille boundary value problem with the theorem and some properities of concave function, then the existence of three positive solutions is gotten.

第二节，先证明一个新的锥上不动点定理，再利用此定理及凹函数的性质来研究边值问题，得到了三个正解的存在性。

In this paper,with the aid of the w~*- sequential compactness of bounded closed balls in the conjugate space of a separable space,we proved that the convex hull of a finite union of bounded closed balls in l~∞ is closed.

借助可分空间的共轭空间中有界闭球的弱星序列紧性，证明在无穷维数列空间l∞中有限个闭球之并的凸包仍为闭集

It is finally shown by two examples that the method presented is this paper can reduce the conservativeness of the results, which indicates the validity of the proposed method.

通过两个示例说明文中所提出的方法可减少结果的保守性，证明文中鲁棒控制方法的有效性。

The author proves theorem on contracting maps for halfmetric space and the existance of solution and the Continuousness of integral operator integral equation in Orlica space.

证明了半度量空间中的压缩映像原理，并应用其证明了Orlica空间中一类积分方程解的存在性及积分算子的连续性。

Also, by using exponential dichotomy, contraction map theorem and matrix theory, some sufficient conditions are obtained to ensure the existence and global exponential stability of almost periodic solution for MAM neural network with distributed delays.

利用矩阵的谱半径、指数二分法结合运用压缩映射原理获得了分布时滞多向联想记忆神经网络模型概周期解的存在性，并在相同条件下证明了概周期解的全局指数稳定性。

Firstly, we adopted it to estimate the parameters in multicollinear linear regression model and proved the convergency of the algorithm.

文中提出一种病态分离的交互投影算法，用该算法对复共线的一般线性回归模型作出参数估计，并证明了算法的收敛性。

The theory foundation of the method is given, which proves that the expectation and variance are uniformly convergent in measure space, and the orthogonal function series used to approach the sensitivity function is uniformly convergent.

文中描述了目标机动对命中误差灵敏度的拟合正交函数系及其一致收敛性，并用测度理论证明了小样本方法估算期望和方差的逼近的一致收敛性质。

Then for general convex programming problem with linear constraints, we developed affine scaling algorithm and prove its convergences.

接着我们对一般的线性约束下的凸规划问题，给出了相应的仿射尺度算法，并证明了算法的收敛性。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。