泛函性

Therefore, it is significant to study the existence and controllability of multivalued functional differential equations and integrodifferential equations.

因此，对多值泛函微分方程和积分微分方程存在性和可控性的研究具有重要意义。

Convexity and convex function have extensive applications in functional analysis, optimal theory, and mathematical economy.

凸性和凸函数在不等式、泛函分析、最优理论、运筹学、控制论及数理经济学等应用数学领域都有很多应用。

The maximum principle of the optimal control for the stochastic systems described by Zakaj stochastic partial sifferential equationis proved by approximately minimum point theorem of E. Ekeland. The convexity and compactness of the set of control values is not assumed, and it is not necessary for the maximum principle about differentiability in control variables included in drift term of the stoch astic system and the integrand in index functional, and costate process satisfies the stochastic partial ...

在不假便定控制变量取值的集合是凸的和紧的，不要求随机系统的漂移项和指标泛函的被积函数关于控制变量具有可微性的情况下，用E，Ekeland的近似极小点定理证明了Zakai随机偏微分方程描述的随机系统的最优控制的最大值原理，和用很简洁的方法证明了协态过程满足一个随机偏微分方程。

Some necessary and sufficient conditions for the oscillation of solutions of delay hyperbolic differential equation s are obtained.

建立了一类时滞双曲型微分方程解的振动充要条件，揭示了这类双曲方程与相应泛函微分方程解的振动的等价性。

By using the theory of linear evolution systems and Sadovskii's fixed point theorem, chapter3 deals with the existence of mid-solutions,strong solutions for the Cauchy problems of neutralabstract functional differential equations dependent on time with unbounded delay, here theright function in the equations satisfies the Caratheodory conditions.

第三章利用线性发展系统理论和Sadovskii不动点定理研究了具有无穷时滞中立型时变泛函微分方程Cauchy问题mild-解、强解的存在性。其中方程的右端函数满足Caratheodory条件。

By applying density functional theory, the relationships between the electron structures and the complexation of the two types of bis-β-diketone ligands (dithiol-γ-linked or alkyl-γ-linked) were investigated, based on the polarized continuum model of the self-consistent reaction field. Using the model B3LYP/6-31G**, the geometries of the ligands were optimized and the electron structure changes calculated.

基于自洽反应场中的极化连续介质模型，采用密度泛函理论B3LYP/6-31G**计算了以二硫醚和芳环为桥基的两类双β-二酮配体的空间构型和电子结构，结合其配合物晶体结构数据，研究配体分子电子结构与配位性的关联性。

Allen electronegativity is demonstrated by density functional theory.

用密度泛函理论论证了Allen电负性的合理性。

After introducing some basic results from ergodic theory, two probIems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system.

首先介绍了遍历理论的一些经典结果；然后着重研究了对应于混沌映射的绝对连续不变测度的存在性与计算问题，这归结于相应的Frobenius-Perron算子的泛函分析与数值分析；最后《确定性系统的统计性质》介绍了Shannon熵、Kolmogorov熵、拓扑熵以及Boltzmann熵，并给出了不变测度的一些最新应用。

Jiu Ding,Aihui Zhou,Statistical Properties of Deterministic Systems Statistical Properties of Deterministic Systems discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two probIems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation.

摘要本书介绍的是确定性离散动力系统统计性质的基本理论与计算方法，首先介绍了遍历理论的一些经典结果；然后着重研究了对应于混沌映射的绝对连续不变测度的存在性与计算问题，这归结于相应的Frobenius—Perron算子的泛函分析与数值分析；最后本书介绍了Shannon熵、Kolmogorov熵、拓扑熵以及Boltzmann熵，并给出了不变测度的一些最新应用。

In particular , when f = 0 , we prove exponential decay of logn...

最后，我们又证得了几族李雅普诺夫泛函的存在性。

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。。。。