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Bounded ; solutions ; Almost periodic sofutions ; Fixed point method

有界解;概周期解;不动点方法

By reviewing of the existing algorithms in CGE model, such as Scarf fixed point method, Newton-Raphson method, Tatonnement method, Johanson-Euler method, projected Lagrange method, genetic algorithm and simulated annealing algorithm, this paper expound each algorithm's principle and main problems, pointed out their respective strengths and weaknesses, and finally made a detailed comparative analysis.

本文通过对现有的求解算法进行综述,包括传统的Scarf不动点算法、牛顿迭代法、Tatonnement算法、Johanson-Euler法、投影拉格朗日算法,以及近期兴起的遗传算法和模拟退火算法,扼要说明它们的求解原理及存在的问题,指出各自的优缺点并作了详尽的比较分析与探讨,对于致力于推进CGE建模与仿真求解技术瓶颈突破的研究者们具体重要的参考意义。

Chapter two mainly considers the periodic boundary value problems for impul-sive differential equations. Some existence results, obtained by the help of Schaeffers fixed point theorem and the method of upper and lower solutions coupled with the monotone iterative technique.

第二章讨论了两类周期边值问题,通过利用Schaeffer不动点定理,上下解方法和单调迭代方法,建立了解存在的充分条件。

The sufficient conditions for guaranteeing the permanence of the system and the existence and uniqueness of periodic solution having globally asymptotical stability are obtained by using the extremum principle,fixed point theorem and V function method s together.

讨论一类具 Holling 类功能反应和放养的捕食链非自治扩散系统,应用极值原理和不动点定理及 V函数法,得到该系统的一致持久性以及存在唯一全局渐近稳定周期解的充分条件。

In this paper, by using fixed point theorems of strict set contraction mapping, we study two kinds of boundary value problems for compact type conditions in Banach spaces.

中文摘要:本文利用严格集压缩映象的不动点定理分别讨论了紧型条件下的两类Banach空间边值问题。

To our knowledge, this is the first work for the existence of periodic solutions for neutral systems by generalized Schaefer fixed point theorem of seperate contraction mapping.

第四章,讨论了两类依赖于参数的泛函微分系统,用锥上的Deimling不动点定理,证明了系统的正周期解的个数与参数的取值以及非线性项的渐近行为有关。

In the solution of the problems in algebraic equation, differential equation and integral equation, we usually resort the sotution of equation to the fixed point of mapping in metric space. The contraction mapping principle can be used to solve many problems of the existence and uniqueness of equation solution.

在代数方程、微分方程和积分方程的求解问题中,通常把所求的解归结为度量空间中映射的不动点,然后应用压缩映象原理来统一处理许多方程解的存在性和唯一性问题。

By employing the fixed point index of condensing mapping,the existence results of positive solution are obtained under two cases,the conclusions extend the results recently achieved in this field.

三。我们应用凝聚映射的不动点指数理论,分别存两种情形下,获得了一些正解存在的结果,推广了近期这方面已有的一些结果。

It is proved that a generalized Ishikawa type iteration sequence convergences to the unique common fixed point of its more generalized quasi-contractive mapping sequence respect to p.

证明了广义Ish ikawa型迭代序列收敛于关于p的更广义拟压缩映射序列的唯一公共不动点。

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。

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