泛函分析

词组短语

functional analysis

与泛函分析相关的网络例句 [注：此内容来源于网络，仅供参考]

Accordingly, on the hypothetical condition that the material coefficients are the linear functions of tem perature and according to the theory of functional analysis, the authors use the method of combing the inner product form with convolution bilinear form, which leads to the functional of the quasistatic coupled thermo—viscoelasticity including the boundary and initial c...

因此，著者在物性系数是温度的线性函数的假设条件下，根据泛函分析理论，采用内积式与卷积双线性式相结合的方法，导出了包含所有边界条件，初始条件及热传导方程的拟静态耦合热粘弹性问题的泛函，并证明了与之相应的变分原理。

In this paper,making use of hyperplane method,we improve the proof of the separation theorem;On the other hand,we use a new method of moving neighborhood to simplify the proof for the continuity of a subconvex function defined on a convex in a normed linear space.

在巴拿赫空间理论中，Hahn-Banach泛函延拓定理作为泛函分析三大基本定理之一，分隔性定理是Hahn-Banach定理的重要应用，本文利用"超平面"的方法，改进了一个分隔性定理的证明；另外，本文利用邻域的"平移"方法，给出了定义在赋范线性空间内的凸集上的次凸泛函连续性的简捷证明。

Methods The theories of topology, convex analysis and functional analysis are used to study and analyze some properties of the set-valued function in the problem.

依据拓扑，凸分析和泛函分析的理论，对于锥扰动向量优化问题中特定的集值映射进行分析和研究。

The correct weak form of basic equations in elasticity is presented by means of dual space conception and basic theorem in functional analysis. The conditions on discontinuous surfaces of displacements or elasticity constants for continua are given.

因此从泛函分析的角度出发，基于共轭空间的概念和泛函分析的基本定理准确地给出了弹性力学基本方程的弱形式；给出了连续介质在位移或物理常数间断面上的条件。

Nonlinear functional analysis has become an important direction of research in modern mathematics,nonlinear operator theory is also an important part of nonlinear functional analysis.

非线性泛函分析已成为现代数学中的重要研究方向之一，而非线性算子理论又是非线性泛函分析的重要内容。

In studing methods,partial func-tional differential equations sum up the theories and methods of ordinary differentialequations,partial differential equations,the semigroup theory and the fixed-pointtheory in functional analysis and the basic concepts,theories and methods suit-able for the partial differential equations with delay are formed.

偏泛函微分方程在研究方法上综合了常微分方程的理论方法和泛函分析中算子半群、不动点理论以及偏微分方程的理论方法，并形成了以时滞为基本特征的泛函微分方程的基本概念、理论和方法。

The rigorous study of real numbers and functions of a real variable is known as real analysis , with complex analysis the equivalent field for the complex numbers .

严格的研究实数和实变量函数被称为实分析，复分析与复数的类似领域。泛函分析的重点是函数空间。分析的功能之一是许多应用量子力学。

The positive periodic solution of functional differential equation with infinite delay is deeply concentrated these years, some scholars study this subject by means of Lyapunov theorem, Schauder fixed point theorem, and cone extending and compression theorem (from thesis -[5]), and they obtain the existence theorem of positive periodic solution.

近年来，无穷时滞泛函微分方程的周期解问题受到广泛关注，一些学者应用Lyapunov泛函方法，Schauder不动点方法，以及非线性泛函分析中的锥拉伸锥压缩方法(见[1]-[5])，研究了无穷时滞泛函微分方程的周期解的存在性问题。

Then, it studies the supply chain management system as a complex system to confirm the state existing during operating of the system. After that, it conducts a probability analysis on the state which the system located by applying supplement variable method, and establishes the model of distributed parameter system in a form of partial differential equations. Combining C0 ? semigroup theory in the functional analysis, it conducts a dynamic analysis on the established mathematical model. Using this method, it obtains the mathematical expression of the dynamic solution and the steady state solution, and proves the uniqueness, non-negativity and the asymptotic stability of the system solution. This dissertation applies the Matlab tool and uses two-step, three-step Simpson integral equation to imitate the condition of system solution. Then, it adds possible mode of failure and the optimization adjustment state to the system, based on which it has established the distributed parameter system model which is described by partial differential system of equations. Combining the functional analysis C0 ? semigroup theory, it studies the established mathematical model, and obtains the mathematical expression of the dynamic solution system and the steady state solution. It has proven the existing of uniqueness of the system solution, the asymptotic stability of system solution and the system solution. In addition, it has lying the theory rationale for further analysis and the research on the optimization of system.

本文首先简要综述了供应链理论、可靠性研究、鲁棒性研究以及供应链鲁棒性研究的现状；然后，将供应链系统作为一个复杂系统来分析，确定了系统运行过程中所经历的状态，通过引入补充变量的方法，建立了用偏微分方程组描述的分布参数系统模型，用泛函分析中的C_0 -半群理论得到了系统动态解和稳态解的数学表达式，证明了系统解存在的唯一性、非负性和指数阶渐近稳定性；并借助Matlab工具，利用二阶、三阶辛普森积分方程模拟系统解的性态，并给出系统动态解的仿真图；本文又对上述系统增加了系统可能失效状态和优化调整状态，并在此基础上建立了用偏微分方程组描述的分布参数系统模型，同样用泛函分析中的C_0 -半群理论对所建立的数学模型进行了研究，得到系统动态解和稳态解的数学表达式，证明了系统动态解存在的唯一性、非负性及渐近稳定性，为进一步分析和研究供应链优化奠定了理论基础。

In this paper,making use of hyperplane method,we improve the proof of the separation theorem;On the other hand,we use a new method of moving neighborhood to simplify the proof for the continuity of a subconvex function defined on a convex in a normed linear space.

在巴拿赫空间理论中，Hahn-Banach泛函延拓定理作为泛函分析三大基本定理之一，分隔性定理是Hahn-Banach定理的重要应用，本文利用&超平面&的方法，改进了一个分隔性定理的证明；另外，本文利用邻域的&平移&方法，给出了定义在赋范线性空间内的凸集上的次凸泛函连续性的简捷证明。

与泛函分析相关的网络解释 [注：此内容来源于网络，仅供参考]

Functional Analysis：泛函分析

'''泛函分析'''(Functional Analysis)是现代[[数学]]的一个分支,隶属于[[分析学]],其研究的主要对象是[[函数]]构成的[[空间]]. 泛函分析是由对函数的变换(如[[傅立叶变换]]等)的性质的研究和对[[微分方程]]以及[[积分方程]]的研究发展而来的.

nonlinear functional analysis：非线性泛函分析

nonlinear equation 非线性方程 | nonlinear functional analysis 非线性泛函分析 | nonlinear lattice dynamics 非线性点阵力学

Lax, Functional Analysis：高級的研究生泛函分析教材

6、Folland, Real Analysis:標準研究生實分析教材; | 7、Lax, Functional Analysis:高級的研究生泛函分析教材; | 8、Yoshida, Functional Analysis:高級的研究生泛函分析參考書;

Yoshida, Functional Analysis：高級的研究生泛函分析參考書

7、Lax, Functional Analysis:高級的研究生泛函分析教材; | 8、Yoshida, Functional Analysis:高級的研究生泛函分析參考書; | 9、Donald L. Cohn, Measure Theory,:經典的測度論參考書.

Applied Functional Analysis：应用泛函分析

"小波分析续II","Further Study on Wavelet Analysis Ⅱ" | "应用泛函分析","Applied Functional Analysis" | "应用数理统计","Applied Mathematical Statistics"

Applied Functional Analysis：泛函分析及应用

数学建模 Mathematical Modeling 2 32 | 泛函分析及应用Applied Functional Analysis 2 32 | 现代优化方法Optimization Methods 2 32

functional calculus：函项演算

functional analysis 泛函分析 | functional calculus 函项演算 | functional constant 函数常数

functional：泛函

他1910年的著作>(变分学教程),为泛函分析打下基础,事实上泛函 (functional) 这个词就是他发明的. Hadamard 在二十世纪初卷入影响法国政治甚钜的 Dreyfus 事件(他涉嫌洩露国家机密给德国,

harmonic analysis：调和分析

最能把泛函分析和实际问题在一起的另一个重要方向是调和分析 (Harmonic Analysis). 我在这里列举它的两个个子领域,傅立叶分析和小波分析,我想这已经能说明它的实际价值. 它研究的最核心的问题就是怎么用基函数去逼近 和构造一个函数.

generic matrix algebra：泛矩阵代数

泛函分析|functional analysis | 泛矩阵代数|generic matrix algebra | 泛同态|generic homomorphism