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非线性泛函分析

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The zero dynamics were divided into several types, and the relations between the zero dynamics of general nonlinear system and that of its adjoint system norm were discussed by using functional analysis.

佘焱将零动态分为几种类型,运用泛函分析等工具,研究了一般非线性系统与其作为仿射非线性系统的伴随系统的零动态之间的关系。

Nonlinear functional analysis is an important branch of mathmatics, and it can explain several kinds of natural phenomena.

非线性泛函分析是应用数学中的一个重要分支,因其能很好的解释自然界中的各种各样的自然现象受到了国内外数学界和自然科学界的重视。

In the first part, we introduce the developing history of nonlinear functional analysis, the discussed problems of the present thesis and some important results.

第一部分是文献综述,首先简明介绍了非线性泛函分析的发展历史以及本文所讨论的问题,最后列出了一些已有的重要结果。

Fixed point theory is an important part of nonlinear functional analysis, which has rapid and intense connection with many branches of modern mathematics.

不动点理论是目前正在迅速发展的非线性泛函分析理论的重要组成部分,它与近代数学的许多分枝有着紧密的联系。

The problems of random nonlinear operators in Banach spaces belong to fields of random nonlinear functional analysis.

Banach 空间中的随机非线性算子问题属于随机非线泛函分析的范畴。

Nonlinear functional analysis is an important branch of mathmatics, be-cause it can explain all kinds of natural phenomena, more and more mathe-maticians are devoting themselves to it.

非线性泛函分析是数学中的一个重要分支,因其能很好的解释自然界中的各种各样的自然现象受到了国内外数学界和自然科学界的重视。

The whole contents is divided into five chapters. In chapter 1, as the beginning of this paper, we offered some relative knowledge, such as the cone theory and semi-order method in nonlinear functional analysis. Moreover, we established a new fixed point theorem of the mixed monotone iterative operator.

全文共分成五章:第一章作为准备知识给出了本文要用到的相关知识内容,其中包括非线性泛函分析中的锥理论及半序方法,并建立了新的混合单调算子不动点定理。

The singular differential equation has developed on the basis of nonlinear functional analysis, because it can explain a lot of natural phenomenal, more and more mathematicans are devoting their times to the study of sigular differential equation.

非线性泛函分析为基础而发展起来的奇异微分方程理论因其能很好的解释自然界中的各种各样的自然现象而倍受关注。

And control problems such as optimal import rate control, optimal harvesting control, optimal birth control are investigated. By means of nonlinear functional analysis, differential equations, integral equations, and modern control theory, a number of research results are obtained, which are theoretically valuable and provide a solid ground for the practical use of our models.

本文系统讨论了几类年龄依赖的单种群和多种群动力系统,综合应用非线性泛函分析、微分方程、积分方程以及分布参数系统控制论等理论与方法,深入地研究了这些系统的解的存在性、唯一性以及非负有界性;研究了这些种群动力系统的最优输入率、收获率和出生率控制问题,获得了一批重要的理论成果。

In this paper, the algorithm of BFGS has been used to solve the problem, which was demonstrated by the results of NFEA and the nonlinear functional analysis logically.

其次,针对支架的弹塑性大变形分析过程容易出现负刚度导致分析终止的问题,本研究采用BFGS算法解决了该问题,并且利用非线性泛函定理证明了起始刚度正定,BFGS算法能使刚度始终保持正定。

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随着死亡的吉他手Schuldiner接受主唱的职务,乐队在现实中树立了重要的影响。

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