泛函性

It is proved in the paper that the uniformly ultimate boundedness of solutionsimplies the existence of periodic solutions to functional differential equations with infinite delayin admissible phase space with fading memory .

本文证明了在具有衰减记忆的允许相空间中，无限时滞泛函微分方程的解的一致最终有界性蕴含了周期解的存在性。

Secondly, we also introduce the development of multi-point boundary value problems of differential equations.

首先我们介绍了常微分方程振动性理论与泛函微分方程振动性理论的起源与发展。

In this paper, the boundedness of the solutions to neutral functional differential equations with finite delay has been studied.

本文研究了具有有限时滞中立型泛函微分方程解的有界性问题，得到了方程解的指数渐近稳定性蕴涵有界解的存在性的新的结

Since most of the large molecules containing phosphorus element have double bonds, it is necessary to consider the special structures of double bonds in order to deal with these large systems more accurately. So, based on density functional theory and electronegativity equalization principle, applying a general atom-bond electronegativity equalization method , using separated program, through regression and least-squares optimization , the parameters of atoms and bonds in molecules are determined . By these parameters , the charge distributions and the energy of some molecules containing phosphorus element, especial the fragment of DNA, RNA, are calculated . The results are quite good.

由于这些含磷生物大分子体系都含有双键，为了明确的处理双键，进而更准确的解释带有双键和共轭双键的含磷生物大分子结构与性质的关系，我们以密度泛函理论~([1-4])和电负性均衡原理~([5-9])为基础，应用和开发原子-键电负性均衡方法中的σπ模型，利用最小二乘法，拟合确定了一些分子（含碳、氮、氧、氢以及磷等原子）的各种类型原子及化学键区域的参数，并利用上述参数计算了一些多聚核苷酸的电荷分布以及分子的总能量，进行了讨论，得到的结果可以和从头算相媲美。

We have built and developed an atom-bond electronegativity equalization model on the basis of density functional theory and electronegativity equalization principle.

我们以密度泛函理论和电负性均衡原理为基础，建立和发展了原子-键电负性均衡模型。

In the framework of density functional theory, the development of electronegativity, electronegativity equalization theory and their applications for exploring some molecular properties are overviewed.

文摘：以密度泛函理论为框架，综述电负性和电负性均衡理论的发展及其在探讨各种分子性质时的应用。

We have built and developed an atom-bond electron-egativity equalization σπ model on the basis of density functional theory and electronegativity equalization principle.

我们以密度泛函理论和电负性均衡原理为基础，建立和发展了原子-键电负性均衡方法中的σπ模型。

The stability and convergence for spectral methods and spectral element methods are presented, with the aid of the knowledge of functional analysis and calculus and with the help of the theorem of Lax-Milagram, the stability and convergence for steady problems, evolution equations and Navier-Stokes Equations are analyzed in detail.

利用泛函分析和微积分的基本知识，运用Lax-Milagram定理等，从理论上比较详细地分析了谱方法和谱元方法在定常问题、非定常问题以及求解Navier-Stokes方程方面的稳定性和收敛性问题，得出了Navier-Stokes方程谱近似的稳定性条件和收敛性准则。

By using the Lyapunov functional method and matrix theory, the critical dynamics behavior of recurrent neural networks with nearest point projection has been investigated. It is shown that such networks are globally convergent and asymptotically stable when the networks are nonlinear non-dilatation.

基于Lyapunov泛函方法和矩阵理论，本文研究一类被广泛应用的反馈神经网络―最近点投影型反馈神经网络的临界全局动力学性态，当网络具有非线性不扩张性质时，在临界条件下得到该类网络全局收敛性和渐近稳定性。

By means of the semigroup theory, spectrum theory, positive cone theory, integrated equation theory and optimal control theory, we obtain the existence of thresholds of these models, the existence and stability of the infection- free equilibrium and the endemic steady state, and the existence of optimal vaccination strategies, etc.

运用泛函分析中的半群理论、谱理论、正锥理论以及积分方程理论和最优控制理论，系统地研究了这些模型的阈值的存在性，无病平衡态和地方病平衡态的存在性和稳定性，最优接种疫苗策略的存在性等。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。