Edgeworth Expansion of Densities of Order Statistics with Fixed Rank

We give an Edgeworth expansion for densities of order statistics with fixed rank k.The Edgeworth expansion for densities of extreme values is then obtained as a special case k=1.     

Invariant Mean—Value Property and M—Harmonicity in the Unit Ball of R^n

In 1993,Ahern,Flores and Rudin showed that,if f is integrable over the unit ball BC^n of C^n and satisfies∫BC^nfoφdv=f（φ（0)) for every φ∈Aut(BC^n),then f is M-harmonic if and only if n≤11.The present paper is about an analogous question in the context of the unit ball Bn of R^n as well as in the weighted setting.     

一类超线性椭圆方程的无穷多解

本文研究了一类超线性椭圆方程,这里的非线性项是奇的.我们不需要假设Ambrosetti-Rabinowitz条件,得到了无穷多个大能量解的存在性.我们的结论推广了邹文明最近的结果。     

一类积分不等式的推广

对一些基本的积分不等式进行了推广，给出了含有n个无关变元的更广泛的非线性积分不等式．利用所得的不等式讨论了某些非线性积分方程解的有界性．     

一类Fisher方程的行波解

本文讨论了一类广义Fisher方程,得到了它的多个显式行波解.     

关于K-拟可加模糊积分的几点注记

在K-拟可加模糊积分定义及积分转换定理的基础上，证明这种模糊积分恰好构成K-拟可加模糊测度，并依据积分转换定理讨论这种K-拟可加模糊积分的一些补充性质。     

Linear Theory of Free Electron Laser with a Plasma-Loaded Cylindrical Waveguide

The dispersion characteristics of plasma–loaded free-electron laser has been analyzed using linear fluid model. The device under consideration consists of the cylindrical metallic waveguide, completely filled with background plasma and a relativistic electron beam which passes through a helical wiggler magnetic field. The result predicts that reasonable plasma density tends to improve the growth rate of the low-frequency optical wave of FEL and causes an shiftup in the operating frequency, However it has little effect on the growth rate of the high-frequency wave. In the plasma–loaded FEL, for the FEL oscillator, it may be tuned by varying the plasma density; and for the FEL amplifier, the wider frequency bandwidth is gained. A critical density n ^c _p for the background plasma density is found.     

R(o)ssler混沌系统的追踪控制

基于离散线性系统的稳定性理论,提出了R(o)ssler混沌系统的一种追踪控制方案,实现了Rossler系统对任意给定参考信号的追踪,并且在理论上证明这种控制方案是按指数收敛的.数值仿真表明,该控制方案不仅可以对给定参考信号进行追踪,而且响应系统可以与驱动系统(同结构、异结构均可)同步.     

SiN自由基X2∑+, A2Π和B2∑+ 电子态的光谱常数研究

采用内收缩多参考组态相互作用(MRCI)方法, 结合价态范围内的最大相关一致基aug-cc-pV6Z, 计算了SiN自由基X²∑⁺, A²Π 和B²∑⁺电子态的势能曲线. 采用Davidson修正来避免由于MRCI方法本身的大小一致性缺陷产生的误差. 为了提高计算精度, 进一步考虑了相对论修正和核价相关修正对势能曲线的影响. 本文的相对论修正是利用二阶Douglas-Kroll 哈密顿近似在cc-pV5Z基组水平进行的; 同时核价相关修正是在cc-pCV5Z基组水平进行的. 对这些势能曲线进行拟合, 得到各种水平下三个电子态的光谱常数(T_e, R_e, ω_e, ω_ex_e, α_e和B_e), 并详细分析了Davidson修正、相对论修正和核价相关修正对光谱常数的影响. 与其他理论结果和实验数据进行比较, 可知本文的结果更精确、更完整.     

混合溶剂对P3HT:PCBM基太阳能电池的影响

以poly(3-hexylthiophene)(P3HT)为电子给体材料,[6,6]-phenyl-C60-butyric acid methyl ester (PCBM)为电子受体材料,制备了纯氯苯(CB)溶剂、纯氯仿(CF)溶剂和氯苯/氯仿(CB/CF)不同比例混合溶剂的共混体系太阳能电池.研究了不同溶剂及不同比例混合的混合溶剂对电池性能的影响.结果表明:以CB/CF(3/1)为溶剂制备的器件,紫外可见吸收光谱和器件外量子效率曲线显示出红移现象,原子力显微图表明P3HT和PCBM间形成良好的相分离结构.在100 mW/cm2强度光照射下,其开路电压Voc为0.61 V短路电流密度Jsc为9mA/cm2,填充因子FF为57.9％,能量转换效率PCE为3.2％.