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Based on the fundamental theory of impulsive differential systems, employing Green formula, Gauss divergence theorem, Jensen inequality and Gronwall-Bellman inequality with impulse, we discuss the oscillation of impulsive partial differential systems by adopting reduction to absurdity and the stability in via of comparison theorem, respectively. Especially, we take an in-depth study on the oscillation of neutral impulsive parabolic systems and the stability of a class of nonlinear impulsive partial differential equations and obtain some useful conclusions.

本学位论文以脉冲微分系统基本理论为基础，利用反证法的分析方法和比较定理，结合Green公式、Gauss散度定理、Jensen不等式、含脉冲的Gronwall-Bellman不等式以及相关数学工具研究了脉冲偏微分系统的振动理论和稳定性理论，特别对中立型脉冲时滞抛物系统的振动性和一类非线性脉冲偏微分系统的稳定性作了较为深入的研究，给出了一些有用的结论。

So Bell inequality and Entropy inequalitycorrespond to distance-related inequality;while partial energy transpositiontransformation and partial time-reversal transformation correspond to thechanges of certain geometrical parameter in vector expression of density matrix;and directly perceivable language description is available in entanglement region.

部分转置变换和部分时间反演变换对应于密度矩阵的向量表示中某些几何参数的改变，而纠缠区域更是可以有直观的语言描述。

The partial melting process during increasing temperature includes uniformization of the compositions, divorced eutectic melting, and the partial melting and glomeration of primary α-Mg.

提出半固态熔化过程可分为成分均匀化、共晶熔化和部分初生相的熔化和球化完成三个阶段，不同熔化阶段时，控制性因素不同。

The study was focused on the amount of available water in soil, hydraulic conductivity in soil-root system from different root zones, sap flow from root to stem, compensatory effect of root water uptake, the fruit growth and physiological attibutes, evaporation and transipiration, and plant water use efficiency. Experiment plants involved apple tree, grape, peach, etc. Fruit trees were irrigated in both half root zones or water was continuously supplied to the one-half and the other half kept dry(fixed partial rootzone irrigation, F), or water was alternatively supplied to two halves (alternative partial rootzone irrigation, A).

项目通过水平或垂直方向交替滴灌、固定局部滴灌及均匀灌溉方式，研究根区土壤湿润方式改变对果树根系微生态系统水分有效性、水分传导、根系吸水补偿效应、根茎液流、生长生理状况、蒸发蒸腾及水分利用效率的影响。

Green onion's light green partial nutritions the onion white are partial nutritional value to have to be much higher than.

大葱的葱绿部分营养比葱白部分营养价值要高得多。

By a large amount of computation and analysis, a practicable partial coefficient design expression based on probabilistic limit states design is proposed, and a group of optimal partial coefficients are obtained.

为便于工程应用，在进行了大量分析计算之后，本文建议了基于位移的概率极限状态分项系数设计表达式，并确定了其中的分项系数。

The paper consists of four chapters:In chaper 1, we introduce the background and signficance, research and actuality on oscillation of functional partial differential equations; we present research subject in this paper;In chaper 2, we discuss oscillatory property of systems of parabolic differential equations with delays and obtain necessary and sufficient conditions for the oscillation of their solutions; we show the difference between oscillatory property of systems of parabolic differential equations with delays and that of systems of partial differential equtions without delays; we explain the main results with examples;In chapter 3, we discuss oscillatory property of systems of functional parabolic differential equations of neutral type; we obtain some sufficient conditions for the oscillation or full oscillation of their solutions under some conditions; we explain the main results with examples;In chapter 4, we discuss oscillatory property of systems of functional hyperbolic differential equations of neutral type; we obtain sufficient conditions for the oscillation or full oscillation of their solutions under some conditions; we explain the main results with examples.

全文共分四章：第一章简要介绍了泛函偏微分方程的振动的背景和意义、对其研究的简单历史和现状，给出了本文的主要研究对象；第二章讨论了一类时滞抛物方程组解的振动性质，获得了判断其所有解振动的一个易于验证的充要条件；指出了这类具有时滞偏差变元的抛物方程组解的振动性质和不具有时滞偏差变元的抛物方程组解的振动性质的差异；并举例对主要结果进行阐明；第三章讨论了一类中立型抛物方程组解的振动性质，获得了在给定的条件下其所有解振动或全振动的若干充分条件；并举例对主要结果进行阐明；第四章讨论了一类中立型双曲方程组解的振动性质，获得了在给定的条件下其所有解振动或全振动的若干充分条件；并举例对主要结果进行阐明。

Lienal embolism of conclusion surgery splenectomy and partial sex treats hyperfunction of liver cirrhosis lienal function to all have exact curative effect, partial sex embolism is reducing time of patient be in hospital, reduce charge of be in hospital to reach maintain respect of patient immunity function to have an advantage more, but remedial program needs individual change.

结论外科脾切除和部分性脾栓塞治疗肝硬化脾功能亢进均有确切疗效，部分性栓塞在减少患者住院时间、降低住院费用及维持患者免疫功能方面更有优势，但治疗方案需个体化。

Optimal algorithm of combined nonlinear Hopfield network appears powerful validity in solving nonlinear planning, which includes nonlinear objective function, linear constrains and high-demension of decision-making variants, for its ability of nonlinear parallel computation. It is prominent among optimal algorithms because of its function of simply implement with electrocircuit hardware. Genetic algorithm is expressly suitable for optimal calculation regarding the planning of massive, highly nonlinear, inconsecutively differentiable and multiobjective function as well as objective function without analytical expression. However, it inclines to prematurity, as well as its limitation in ability of partial optimal search. Introducing the optimal algorithm of niche genetic simulated annealing to standard Genetic algorithm, can therefore improve the full-scale or partial search ability of Genetic algorithm effectively. It has a far-flung perspective in the field of systemic planning of water pollution control.

组合式非线性Hopfield网络优化算法所具有的非线性大规模并行计算能力在求解具有非线性目标函数、线性约束条件及高维决策变量的非线性规划问题方面显示出了强大的生命力，它易于电路硬件实现的功能更是在优化算法中独树一帜；遗传算法采用概率搜索技术，不受目标函数与约束条件的限制，特别适合大规模、高度非线性的不连续可微的多峰目标函数及无解析表达式的目标函数的规划问题的优化计算，但其存在容易早熟、局部寻优能力较差等缺点，本文在标准遗传算法中引入小生境技术及模拟退火算法有效地改善遗传算法的全局和局部搜索性能，提高了全局最优解的寻优质量，小生境遗传退火模拟优化算法在水污染控制系统规划中的应用前景极为广阔。

The main contents include: Some preliminary theory (introduction to Sobolev spaces and variational formulations for differential equations); finite element methods for one-dimensional elliptic problems; the construction methods for general finite elements; error estimates for interpolation operators and inverse inequalities for finite element spaces; a priori and a posteriori error estimates for the finite element method for high-dimensional elliptic problems; some typical spectral methods for partial differential equations; error analysis for the spectral approximation for some linear and nonlinear partial differential equations.

主要内容有：准备知识（Sobolev空间的基本概念和主要结果，微分方程的变分描述）；一维椭圆型方程有限元方法；一般有限元的构造；插值算子误差估计和逆不等式；高维椭圆型方程的先验、后验误差估计；求解偏微分方程的几类谱方法；线性与非线性问题谱逼近的误差分析等。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。