极大值问题

In this chapter, under the penalty functional satisfies the local Lipschitz condition, by using the Ekeland's variational principle and the properties of finite codimension, the Pontryagin's maximum principle of corresponding optimal control problem whose control variable is the harvesting rate and the input rate respectively is obtained.

本章在性能指标泛函满足局部Lipschitz条件下，利用Ekeland变分原理和有限余维的性质，证明了控制变量分别为收获率和输入率的相应控制问题的Pontryagin极大值原理。

Chapter 7 presents a common form for the distributed parameter problems of the economic and management systems.

提出了求解一般随机控制问题的极大值原理，并与传统的动态规划方法进行了对比分析。

In this article, we discuss the problem of extreme value for Brownian motion with nonlinear drift and study the distribution of the maximum value and minimum value and the first passage time.

本文研究了从x出发的非线性漂移布朗运动的极大值、极小值和首达时问题。

Interval estimation problem of sample extremes is not yet solved in classic extreme value theory.

传统的极值理论尚未很好地解决一组样本的极大值和极小值的区间估计问题。

The optimum model was solved by maximum principle and in which the initial value problem was solved using Newton iteration procedure.

应用极大值原理求解该优化模型，其中的初值问题采用牛顿迭代法求解。

Based on the maximum principle,we construct the blowing-up lower solution by the relations of parameters and solution of the ordinary differential equation and then the blow-up properties are studied.We use the maximal principle to analyse the derivative profiles of the solution and get the lower bounds and upper bounds of blow-up rate through the complicated analysis technology and the inequality theory.

基于最大值原理的比较理论，通过一些特定的参数关系，利用相关常微分方程的解构造合适的爆破形式的下解，由此得到退化反应系统初边值问题的爆破解；然后，对爆破解的性质进行进一步的研究，利用极大值原理对解的导数特性进行了分析，给出了解的爆破速率的上、下界估计。

At the problem, 'method of waveform comparison' based on wavelet transform is proposed in this paper.

针对这个问题，提出了基于小波变换模极大值的波形比较法。

The existence and uniqueness of solution for population dynamics and the corresponding maximum principle are obtained by using Banach's fixed point theorem and the concept of normal cone.

第二节和第三节分别对具有年龄结构的竞争两种群和n种群扩散系统的最优收获问题进行了研究，获得了相应的极大值原理，以及两种群竞争系统最优控制问题解的存在唯一性。

Firstly,surd or sonant judgment with each voice frame is done,then the multi-scale wavelet analysis is done only on the sonant frames to get pitches.In order to get accurate pitches,the intervals of local modulus maxima of dyadic wavelet coefficients are corrected according to amplitude information and appearance probability information.

针对这一问题，提出一种基于小波变换的基音周期提取改进算法，将TEO算子与二进小波变换结合起来，首先进行清浊判定，然后只对浊音帧采取多尺度小波分析提取周期，提出用幅度信息和出现概率信息校正二进小波模极大值间距，从而得到准确的周期。

In chapter 2 and 3, experimentally, using the Angular-Resolved high-resolution fast Electron Energy Loss Spectrometer , at the condition of 2. 5 keV incident energy and 50-60 meV energy resolution, we measured the Optical Oscillator Strength Density Spectra for the excitations of 4p, 4s or 3d electron. The oscillator strengths for excitations of the valent shell 4p electron were obtained, and comparisons were done between presently experimental and previously experimental and theoretical results. The experimental results of different groups agree with each other approximately, but the semi-experientially theoretical results do not match with the experimental results. The delayed maximum in the photoabsorption spectra was discussed. It should arise from the transition of 4p→∈d. For the excitation of the inner-valent 4s electron, the discrepancies for the resonant structures in previous electron-impact results and photoionization results were clarified in present work, which confirms again that the fast electron impact method is suitable to measure the optical oscillator strengths. The autoionization Rydberg series 4s〓ns (n=5, 6, 7) and 4s〓nd (n=4, 5, 6, 7) were identified without ambiguity by the measurement at 0°, 2° and 4°scattering angles. The energy levels and natural widths of the excitations of Kr3d and Ar2p inner shell, including optically allowed and forbidden transitions, were determined. The widths of these inner shell excitations are nearly the same, which was interpreted by the Resonant Auger effect .

在第二章和第三章，实验上，使用角分辨的高能量分辨快电子能量损失谱仪，在2.5keV电子入射能量和50-60meV能量分辨下，测量了Kr原子由价壳层4p到内价壳层4s，再到内壳层3d电子激发的光学振子强度密度谱；得到了价壳层4p电子激发束缚态的光学振子强度，与前人实验和半经验理论结果作了细致的比较，说明几家实验是比较符合的，但半经验的理论计算存在问题；分析了光吸收谱中的延迟极大现象，说明在第一电离阈值以上几个eV范围内的极大值源于4p→εd跃迁产生的延迟极大；对于内价壳层4s激发的自电离区，澄清了前人实验中电子碰撞方法和光学方法在共振结构上存在差异的问题，再一次肯定了快电子碰撞方法是获得绝对光学振子强度的一种好方法；通过在非0°散射角的测量（如2°和4°），清楚地标识了4s电子激发的光学禁戒跃迁自电离里德堡系列4s〓ns（n=5，6，7）和4s〓nd（n=4，5，6，7）；通过在0°和4°散射角的测量，观测并标识了几个新的内壳层光学禁戒跃迁能级，得到了Kr原子3d和Ar原子2p内壳层激发态（包括光学允许和禁戒跃迁形成的）的能级位置和自然宽度，用共振俄歇效应解释了这些内壳层激发态（不管是光学允许还是禁戒跃迁产生的）的自然宽度彼此比较接近的原因。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。