迭代序列

Chapter two study iteration of a serial of polynomial, discussed the sufficient and necessary conditions and denseness of the Julia set, the relative random dynamical system is constructed by some high degree polynomial. In addition, it discuss the Mandelbrot set of a kind of polynomial.

本文的第二章主要研究多个函数的特定迭代序列，讨论了高次多项式的随机复动力系统的Julia集的连通的充分必要条件以及稠密性问题，同时还讨论了一类多项式函数的Mandelbrot集。

Under suit upper and lower solution, iteration sequences were constructed, and existence and unique of solutions of linear boundary value problems on second order nonlinear Hammerstein type integro-differential-difference equation were obtained by means of applying the Arzela-Ascoli theorem Lebesque control convergence theorem and disproof method.

在上下解存在的条件下，构造迭代序列，由Arzea-Ascoli定理和Lebesque控制收敛定理得到了二阶非线性Hammerstein型积分微分差分方程的线性边值问题的解的存在性。再利用反证法获得了解的唯一性。

With the method of upper and lower solutions,its associated monotone iterations and the fixed point theorem,the coexistence solutions to a strongly coupled elliptic system are studied.

采用上下解及相应的单调迭代序列的方法，结合Schauder不动点定理，研究带Dirichlet边界条件的两种群的互惠模型强耦合问题共存解。

Next, through a finite iteration of the solution sequence, an approximate solution of the optimal output-tracking control problem is obtained.

首先根据原系统最优输出跟踪控制问题构造了两个分别具有已知初始条件和终端条件的微分方程迭代序列，并证明它们一致收敛于原问题的最优解。

In complete convex metric spaces , we use Ishikawa iterative process to approximate common fixed point of quasi - contractive mapping pair.

在完备凸度量空间中，运用广义的Ishikawa迭代序列列逼近拟压缩映射对的公共不动点。

Under some moderate conditions, the prior estimate of the solutions of the system is obtained. Making use of constructing Picard iterative sequence, Doob martingale inequality, Gronwall inequality, Borel-Cantelli lemma and some fundamental inequalities, together with the uniform Lipschitz conditions, the existence and uniqueness of the solution for stochastic functional differential equations with infinite delay is derived on the interval t0,∞.

在适当的条件下，得到了随机泛函微分方程的解的先验估计；再结合一致Lipschitz条件，通过构造Picard迭代序列，利用Doob较不等式、Gronwall不等式、Borel-Cantelli引理及一些基本不等式，得到该方程的解在区间[t0，∞]上是存在且唯一的。

In chapter 2, we first give a generalized type of the Prigons fixed point theorem and a straightforward proof of it. At the same time, we give a positive answer to an open question about convergency of iterative sequence for generalized contraction which is bring forwarded by Frigon in [3]. Secondly, by using the introduced function φ, we establish some fixed point theorems for the set-valued φ-contraction mappings in gauge spaces. These results unify and generalize the corresponding results of Cain and Nashed [1], Figon [3], Espinola and Kirk[4], Tarafder [5] et al.

第二章，首先给出Frigon不动点定理[3]的推广及其简洁证明，同时对Frigon在文[3]中提出的关于广义压缩迭代序列收敛性的公开问题给出肯定的回答；然后，通过引入φ函数，在度规空间上建立集值φ-压缩映射的不动点定理，统一并推广了Cain和Nashed[1]，Figon[3]，Espinola和Kirk[4]，Tarafder[5]等的相应结果。

Because you can do this "counting," iterating over sequences is trivial.

用"计数"的方法迭代序列是很简单的。

In this paper,the new Theorems are presented to prove some sufficient and necessary condition of Ishikawa iterative sequence with error member for Lipschitz hemi-contraction mapping in Hilbert space converging to the fixed point.

本文给出了Hilbert空间上的Lipschitz半压缩映像的具有误差项的Ishikawa迭代序列收敛于不动点的充分必要条件。

In this paper, by using the cone theory and mixed monotone iterative technique, the fixed point theorems for a class of mixed monotone multivalued operators in Banach spaces without continuity and compactness are invetigated. The results presented here develop some known ones.

利用锥理论和混合单调迭代序列技术，在不要求任何紧性和连续性的情况下，证明了Banach空间中的一类混合单调集值算子不动点定理，并应用到一阶集值方程中，推广了某些已知结果。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。