泛函性

In this chapter, the existence and uniqueness of the solution to the scheme, the convergence and stability to the scheme are proved by using discrete functional analysis theory, the apriority estimate method and the Brouwer fixed-point theory.

在本章中，运用离散泛函分析理论，结合先验估计、Brouwer不动点原理证明了相应差分格式解的存在唯一性、收敛性和稳定性。

The present paper presents a general existence result of periodic solutions for functional differential inclusion with nonconvex right side by means of the asymptotic fixed point theorem.

用Horn渐近不动点定理，给出具非凸右端函数的泛函微分包含问题周期解存在性的一般性结果。

The general correlation theories are presented to discuss the existence condition of a variation principle, which is named as the athwart problem of a variation principle.

本文较为系统地讨论了建立变分定理的前提条件(本文称之为变分定理的逆问题)的具有普适性的泛函相关理论。

In the second, we discuss the geometry of Banach space, and the bounded linear operators and bounded linear functionals on the Banach space.

第二部分，Banach空间的刻画和其上的有界限性算子和有界线性泛函的性质。

In the second chapter, the author studies the boundary value problems of three-order functional differential equation.

本文在第二章中，主要就三阶泛函微分方程边值问题的讨论，对其正解的存在性给出了充分判据。

We know that more functionals are not bounded from below.

我们知道更多的泛函都不具有下方有界性。

By the B3LYP calculation of DFT, the difference in changes of energy and charge of ion probe C〓 and C〓 interacting with hBN and graphite respectively and the difference in frontier orbital energy level reveal difference in electroaffinity of hBN and graphite. It could be indicated that hBN only shows weak electropositivity, and will not be able to accept electrons from metal.

根据密度泛函B3LYP方法的计算结果，从六方氮化硼与石墨的前线轨道能级和两者对离子探针的作用能及C〓和C〓的电荷变化不同所表现出的在电亲和性上的差异，揭示了金属难以插入六方氮化硼层间的原因是六方氮化硼仅显弱的电正性，不能接受金属转移来的电子。

InSection 2,we give several sufficient conditions for the existence of one solution,multiplesolutions and infinitely many solutions of the Sturm-Liouville bvps via the generalizedpolar coordinates.Then in Section 3,the existence of positive solutions are proved undersuperlinearity,sublinearity and many other conditions by a fixed point theorem in cones.Our results have generalized those in many articles.A detailed discussion of periodic solu-tions of a kind of functional differential equations with high-order Laplacian-like operatorcan be found in Section 4 and this subject has not been studied before.

在第二节，我们定义了一种新的坐标变换-广义极坐标，并利用它讨论了p-Laplacian算子和Laplacian-型算子的Sturm-Liouville边值问题，分别得到了存在一个解、多个解、无穷多个解的多个充分条件；第三节研究p-Laplacian算子的Sturm-Liouville边值问题正解的存在性与多重性，采用的是锥上的不动点定理，全面推广了这一方面已有的结果；对目前研究较少的高维Laplacian-型算子及带有Laplacian-型算子的泛函微分方程的周期解问题，我们在第四节做了一些研究，这也是拓扑方法的一个应用。

In this paper the aromaticity index-Nucleus-Independent Chemical Shifts of nitroaniline and nitrobenzene explosives are calculated by density functional theory, and the relationship between impact sensitivity and aromaticity is investigated.

运用密度泛函方法研究了硝基苯和硝基苯胺类炸药芳香性，首次计算了核独立化学位移(Nucleus-Independent Chemical Shifts， NICS)，对其芳香性与撞击感度进行了关联。

Based on density functional theory and electronegativity equalization principle,applying an atom-bond electronegativity equalization σπ model,using a separated program,we calculated the charge distributions and dipole moments of guanine tautomers.

以密度泛函和电负性均衡原理为基础发展的原子-键电负性均衡方法的σπ模型。并结合自编程序，计算了鸟嘌呤五种异构体的电荷分布和偶极矩，计算结果表明，所计算出的电荷分布可以和从头算结果很好地关联。所计算的偶极矩与其它从头计算方法和力场方法相比总体趋势相同，进一步说明了ABEEMσπ模型的合理性

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。