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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。

The results were as follows, the total cultivated area of Liaoning province has declining tendency in recent 26 years, the total grain yield and the grain yield per unit area increased in "wave" style; the grain yield per unit area and total planting area had the great effect on total grain yield, and the effect of yield per unit area on total grain yield is bigger than that of planting areas; the yield and the planting area of different crops also affected total grain yield greatly, and maize, rice, durra, wheat affect the total grain yield by grain yield per unit area, while millet, maize, wheat affect the total grain yield through planting area changing.

得出如下结论,辽宁省近26年粮食总播种面积呈下降趋势,粮食总产量和平均单产受气候条件影响呈波动式增加;粮食总播种面积和平均单产均显著影响着粮食总产量的变化,并且粮食平均单产的变化对总产的影响要大于粮食播种面积的影响;各种作物的产量和播种面积变化都影响粮食总产量的变化,但各种作物对粮食总产量影响的方式不同,其中玉米、水稻、高粱和小麦主要是通过单产的变化影响粮食总产量,谷子、玉米和小麦则是通过播种面积的改变来影响粮食总产量的变化。

First of all,we have given some of the basic concepts of differential equations, described the constant coefficient linear ordinary differential equation solution, for a class of second-order variable coefficient linear ordinary differential equation initial value problem, an approximate solution, the method is first unknown function of a definition for N sub-interval, and then in between each district within a constant coefficient ordinary differential equations similar to the replacement, the solution has been the problem as similar to the original analytical solution, and then gives a detailed second-order change order coefficient of linear homogeneous ordinary differential equation solution examples, the examples of the approximate method proposed in this paper is valid.

首先给出了微分方程的一些基本概念,讲述了常系数线性常微分方程的解法,针对一类二阶变系数线性常微分方程初值问题,提出了一个近似解法,本方法是先对未知函数的一个定义区间作N等分,然后在每一个小区间内用一个常系数常微分方程近似替换,所得到的解作为原问题的近似解析解,随后详细给出了一个求二阶变系数齐次线性常微分方程的解的实例,该实例说明本文提出的近似方法是有效的。

In order to obtain more general solution of second order linear differential equation with constant coefficients, which is important in theory and practice, on the basis of knowing a special of the second order linear differential equation with constant coefficients and by using the method of variation of constant, the second order linear differential equation with constant coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation with constant coefficients is derived.

为了更多地得到理论上和应用上占有重要地位的二阶常系数线性非齐次微分方程的通解,这里使用常数变易法,在先求得二阶常系数线性齐次微分方程一个特解的情况下,将二阶常系数线性非齐次微分方程转化为可降阶的微分方程,从而给出了一种运算量较小的二阶常系数线性非齐次微分方程通解的一般公式,并且将通解公式进行了推广,实例证明该方法是可行的。

Content: By learning this course, students should grasp the elementary solution of first order differential equation, the structure theory of linear differential equation or system of linear differential equations and the solution of constant coefficient differential equation or system of constant coefficient differential equations.

主要内容:通过对本课程学习,使学生掌握一阶微分方程的初等解法、线性微分方程的结构理论和常系数方程的解法,对微分方程初值问题的一些基础理论有一定的了解,对

Limited slip differential is improved according to common differential. Not having the common differentials disadvantage of dividing the torque into two equal parts, limited slip differential can give most torque or even all torque to another driving wheel which is not revolving in order to make use of the friction of this driving wheel to produce enough traction. This will greatly increase the dynamical capability, the passing capability, the stability and the safety of automobiles on different friction roads. So limited slip differential is substitute for common differential.

防滑差速器是对普通差速器的革新与改进,它克服了普通差速器只能平均分配扭矩的缺点,可以使大部分甚至全部扭矩传给另外一个不滑转的驱动轮,以充分利用这一驱动轮的附着力而产生足够的牵引力,大大提高了汽车在双附着系数路面上的动力性和通过性,显著改善了汽车操纵稳定性,有效地提高了汽车行驶安全性,是普通差速器的理想替代产品。

Parameter RESOLUTION Offset Error Gain Error Differential Nonlinearity Integral Nonlinearity TEMPERATURE DRIFT Offset Error Gain Error POWER SUPPLY REJECTION RATIO ANALOG INPUTS1 Differential Input Voltage Range Differential Input Resistance Differential Input Capacitance Input Bandwidth VSWR 2 POWER SUPPLY 3 Supply Current IAVCC (AVCC = 5.0 V) IEVCC (EVCC = 3.3 V) IVDD (VDD = 3.3 V) Total Power Dissipation 4

参数解决方案偏移误差增益误差微分非线性积分非线性温度漂移偏移误差增益误差电源抑制比1模拟输入;差分输入电压范围差分输入电阻电容输入带宽差分输入电压驻波比2电源3电源电流IAVCC(AVCC = 5.0五)IEVCC(EVCC = 3.3伏) IVDD(VDD的= 3.3伏)总功率耗散4

The Loan Summary details the Amount Borrowed, the Payment Frequency, the Term, Annual Interest Rate, Payment, Payment (Principal, Interest, Taxes and Insurance), Total Principal Paid, Total Interest Paid, Total Principal and Interest Paid, Total Taxes Paid, Total Insurance Paid, Total Taxes and Insurance, and Total Paid Over the Term (Principal, Interest, Taxes and Insurance).

贷款详情概要金额借来的,支付的频率,任期,每年的利息,付款,付款(本金,利息,税金和保险业),总的主要支付,共支付的利息,总还本金和利息的支付,共缴纳税款,总保险支付,总税收和保险,共计支付超过任期(本金,利息,税金和保险)。

By the natural and harmonious relationship between differential forms and differential equations and between differential forms and vector analysis, we discuss the properties, which are covariant under the transformation of coordinates in the framework of differential forms, of particle motion in a central force field .

通过微分形式与微分方程和向量分析之间存在的自然而协调的关系,在微分形式框架下讨论了质点在有心力场中运动的特性并得出在坐标变换下其均是协变的

This article use the improved integral inequalities with the deviate variable and some skills of inequalities as well as related knowledge about second-order differential equation,to obtain the following results: the classification of limit point case or limit circle case and boundedness for second order differential or difference equation with deviative variable,discussed the classification for certain n-order differential equations,Criteria for the classification of second order differential equation with deviative variable.

本文利用推广的具有偏差变元的积分不等式,结合不等式的一些技巧以及常微分方程的相关知识对一类二阶具有偏差变元的微分方程及一类二阶差分方程极限圆型的分类问题作了相关的研究工作,并且讨论了一类n阶具有偏差变元的常微分方程解的平方可积性与有界性和一类二阶非线性具有偏差变元的微分方程解的有界性。

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Looking to bounce back from defeat against Cesena last weekend, the Calabrian boss will be sticking to his tried and tested 4-3-3, with Lopez and Sedivic joined up front in Giampaolo's absence by either Nanni or Plasmati.

鉴于上周末对切塞纳的比赛中反败为胜,这支南方球队将会更坚持其一贯而有效的4-3-3阵型,洛佩斯和塞德维奇将取代受伤缺席的詹保罗,和纳尼或者帕斯马蒂中的一个搭档锋线。

Meanwhile, their exposure to the more freewheeling ways of the West broadened dramatically.

另外,西方较自由的生活方式对年轻人的影响增大。

We are fed up with what the garrulous old lady said.

我们已经对那位爱唠叨的老太太所说的话感到厌烦了。