高阶非齐次线性微分方程的常数变易法

针对在高等数学的其它分支及相关学科中常常出现求解高阶非齐次线性微分方程及一阶非齐次线性微分方程组的问题,将一阶非齐次线性微分方程的常数变易法推广到n阶非齐次线性微分方程、一阶非齐次线性微分方程组,得出了其通解公式,并通过实例进行了验证.     

线性微分方程组dY/dx=A(x)Y的基本解组新探

对变系数线性齐次微分方程组的特殊类型的求解问题进行了探讨,给出了系数矩阵为A(x)(各元素为x的多项式)的一阶线性齐次微分方程组解的结构定理,以及系数矩阵为Af(x)(A为n阶常数矩阵,f(x)为可积函数)的一阶线性齐次微分方程组解的结构定理,并通过实例给出了具体的求解方法.     

高阶变系数线性齐次微分方程内xveλx型解的探求

高阶线性微分方程解的结构理论已很完善，但对一般变系数线性齐次微分方程至今尚未见到探求特解的有效方法．为了更多地得到在理论上和应用上占有重要地位的高阶线性微分方程的通解，对一般变系数高阶线性齐次微分方程引入特征多项式和特征方程的概念，运用高阶导数法则及高次代数方程的重根理论，得到了高阶变系数线性齐次微分方程内有x^veλx型解的一个新的、实用的充分判据，为探求一般变系数线性齐次微分方程内x^veλx型解提供了一个有效的方法，推广了经典的高阶常系数线性齐次微分方程的解法及一些近代的可解结果．     

齐次线性微分方程的xrekx型解

在探求齐次线性微分方程求解已有成果基础上,推广完善了齐次线性微分方程的xrekx型解的问题.     

二阶线性微分方程的一种解法

用未知函数的适当代换,给出二阶线性非齐次微分方程的一个求解公式。并具体应用于某些变系数二阶线性微分方程及二阶常系数非齐次线性微分方程。     

三阶常系数线性微分方程特解的简单求法

针对自由项为几类常见类型的三阶常系数非齐次线性微分方程,得到了求此类微分方程的特解公式,使求三阶常系数非齐次线性微分方程的特解更加简易。     

关于一类变系数齐次线性微分方程的求解

一般的变系数齐次线性微分方程的求解是一个困难问题。本文给出求多项式系数的齐次线性微分方程的x~ve~(kx)型解的一种方法。     

n阶常系数线性微分方程的特解公式

改进了n阶常系数非齐次线性微分方程特解的常用计算方法一待定系数法,且推导出了n阶常系数非齐次线性微分方程特解的一般公式。     

二阶常系数微分方程解法的简化

给出了二阶常系数齐次线性微分方程通解的三角函数形式或双曲函数形式,同时得出了利用位移定理。结合待定系数法解几类特殊的二阶常系数非齐次线性微分方程的方法,简化了此类微分方程的求解过程．     

具有Fabry缺项整函数系数的高阶齐线性微分方程复振荡的一个结果

:在J.K.Langley给出的高阶齐次线性微分方程复振荡的结果的基础上,对具有Fabry缺项整函数系数的高阶齐次线性微分方程的复振荡进行了探讨     

浅析英语语音教学中的/n//l/发音错误

在大学英语教学过程中,有关/n/与/l/的发音错误很常见,原因是没有完全掌握它们的发音规则。/n//l/发音规则的相似性造成了/n//l/不分的情况,而且局部方言中这两个音也不作区分,使得/n//l/混淆的情况更加严重。在教学过程中,可以通过重点讲解区分/n/与/l/的发音规则及其区别来避免/n//l/发音错误。本文同时也分析了含糊/l/音的发音错误,通过对/n/与/l/相关的发音错误分析找出大学英语语音教学行之有效的途径:在完全把握单音的发音规则的基础上,进一步强调语调的掌握,使学生拥有良好的语音。     

肼类燃料液滴的亚临界——超临界蒸发/分解燃烧理论

对肼、一甲基肼、偏二甲肼的亚临界－－超临界蒸发／分解燃烧进行了研究,计算了肼类燃料滴在不同压力下液滴温度和蒸发速度的变化历程,计算了蒸发常数、传热数和传质数,其结果和实验数据是吻合的。本文不但考虑了肼类燃料滴的亚临界蒸发／分解燃烧,还考虑到了其超临界蒸发／分解燃烧,并对达到超临界工况时的界限参数进行了计算。     

Modification of LiCo1/3Ni1/3Mn1/3O2 cathode material by CeO2-coating

LiCo_1/3Ni_1/3Mn_1/3O₂ was coated by a layer of 1.0 wt% CeO₂ via sol-gel method. The bared and coated LiMn_1/3Co_1/3Ni_1/3O₂ was characterized by X-ray diffraction (XRD), scanning electron microscopy (SEM), cyclic voltammogram (CV) and galvanotactic charge-discharge test. The results show that the coating layer has no effect on the crystal structure, only coating on the surface; the 1.0 wt% CeO₂-coated LiCo_1/3Ni_1/3Mn_1/3O₂ exhibits better discharge capacity and cycling performance than the bared LiCo_1/3Ni_1/3Mn_1/3O₂. The discharge capacity of 1.0 wt% CeO₂-coated cathode is 182.5 mAh·g⁻¹ at a current density of 20 mA·g⁻¹, in contrast to 165.8 mAh·g⁻¹of the bared sample. The discharge capacity retention of 1.0 wt% CeO₂-coated sample after 12 cycles reaches 93.2%, in comparison with 86.6% of the bared sample. CV results show that the CeO₂ coating could suppress phase transitions and prevent the surface of cathode material from direct contact with the electrolyte, thus enhance the electrochemical performance of the coated material.     

RDSS/Doppler/GPS/SINS组合导航系统研究

针对双星定位系统(RDSS)存在的定位位置滞后的先天缺陷,根据组合导航定位系统输出速度误差小的特点,给出了一套消除RDSS位置滞后的方案,并对RDSS／SINS组合系统进行了建模,依据联邦滤波器理论,考虑到GPS的实际情况,提出了RDSS／Doppler／GPS／SINS多传感器组合导航系统的设想,仿真结果表明,该组合导航系统具有准确度高、自主性强的特点。     

Transport Properties of Polycrystalline La2/3Ca1/3Mn1-xCuxO3

The infuence of Cu dopant (x) and sintering temperature(Ts) on the troansport propeties of La2/3Ca1/3Mn1-xCuxO3 series samples prepared by Sol-Gel technique was investigated.X-ray diffraction patterns show that all the samples with different Cu dopant and sintering temperatures (Ts) are of single phase without obvious latice distortion.Experimental results indicate that the insulator-metal transition temperature is diectly related to the sintering temperature and Cu dopant x.It is interesting to observe that a proper amount of Cu dompant can substantially improve magnetoresistance effects.     

亚锰酸盐La0.7-xYxCa0.3MnO3的电磁特性和磁电阻效应

研究了用固相反应法制备亚锰酸盐多晶样品La0.7-xYxCa0.3MnO3,并研究了Y的不同掺杂(x=0.1,0.2)对样品的晶体结构、电磁特性和磁电阻效应的影响.实验结果表明,随着温度的降低,x=0.1样品的R-T曲线没有出现峰值,而x=0.2样品出现了峰值,显示了复杂的输运特性.两种样品的磁电阻Rm都随着温度的降低而升高,但都没有出现峰值.x=0.2的样品在较宽的温区内,磁电阻效应都很显著,而且Y掺杂由x=0.1提高至x=0.2,磁电阻效应增强.     

Low temperature properties of organic-inorganic Ag/ p -CuPc/ n -GaAs/Ag photoelectric sensor

A thin organic film of p-type semiconducting copper phthalocynanine (CuPc) was deposited by vacuum evaporation on an n-type GaAs single-crystal semiconductor substrate. The fabricated Ag/p-CuPc/n-GaAs/Ag sensor was carried through an ageing process to stabilize the parameters. Voltage-current characteristics and photoelectrical response of the sensor were investigated at a wide temperature range of 82 to 350 K. Photoelectric characteristics were measured under nonmodulated filament-lamp illumination. It was observed that such sensor parameters as rectification ratio, threshold voltage, junction, shunt and series resistances, open-circuit voltage and short circuit current are temperature-dependent. It was found that wide-range voltage-current characteristics of the sensor may be described similarly to that of a Schottky barrier diode. Using the experimental data on voltage-current characteristics and absorbance of the CuPc films, the energy-band diagram of the p-CuPc/n-GaAs heterojunction was developed. It was shown that data obtained from simulation of an equivalent circuit of photoelectric sensor agreed with experimental results. Supported by the National Engineering and Scientific Commission of Pakistan     

M/M/c型与M/M/1型排队系统对比仿真

为了更具体地分析M/M/c和c个M/M/1并联系统在性能上的差异,首先分析了Little公式在应用中可能存在的缺陷,然后通过AnyLogic仿真工具对模型运行过程进行跟踪,最后通过管理系统仿真(general purpose simulation system,GPSS) JAVA仿真获取了2种排队系统中服务台利用率、平均队长、最大队长、平均等待时间等对比指标,并指出了M/M/1并联系统用解析法求解存在的缺陷.仿真结果表明:2种排队系统中服务台利用率几乎相同;M/M/c系统中顾客平均等待时间稍短于c个M/M/1并联系统,对传统排队论中的“与c个M/M/1并联系统相比,M/M/c系统可以显著提高服务效率和减少等待时间”结论进行了修正.此外,M/M/c系统中“短时等待”顾客更多,其“零等待”顾客数和“长时等待”顾客数均显著少于c个M/M/1并联系统.     

St/BA/MAA/AA/VAC复合乳液的合成及其应用

采用半连续乳液种子聚合法合成苯乙烯（St）、丙烯酸丁酯（BA）、甲基丙烯酸 （MAA）、丙烯酸（AA）、醋酸乙烯酯 （VAc）的复合乳液.分析了丙烯酸对乳液电解质性能的影响,引发剂对聚合反应转化率的影响及乳化剂含量对乳液粘度的影响.通过正交试验确定组分的适当配比.该共聚乳液的粘度及固体含量符合要求,稳定性好, 性能价格比高.应用表明：用此乳液配制成地毯乳胶,胶膜具有良好的机械性能.     

Reliability of Au/PZT/BIT/p-Si ferroelectric diode

A ferroelectric memory diode that consisted of Au/PZT/BIT/p-Si multilayer configuration was fabricated by pulsed laser deposition (PLD) technique. The reliability issues (I-V characteristics, capacitance retention, fatigue and imprint) were investigated. The I-V curve showed the conventional Schottky diode characteristics with a small current density of - 5.3×10 -10 A/cm2 at a voltage of - 4 V and 6.7×10-8 A/cm2 at a voltage of + 4V, and this characteristic can be maintained below 50℃. The capacitance variety of the ferroelectric diode was only 5 % in 10 hours after withdrawing the applied bias of + 5 V or - 5 V, indicating the diode had good capacitance retention. By applying 100 kHz bipolar pulses of 5 V amplitude, the decay in remanent polarization was only 10% after 109 switching cycles, and meanwhile the increase in coercive field was 12%. After being irradiated for 20 min with a 200 W ultraviolet ray lamp, the remanent polarization and coercive field had both varied, and a voltage shift was obse