一类具P-Laplacian算子四阶两点边值问题正解的存在性

利用Leggett-Williams不动点定理研究了一类具有P-Laplacian算子的边值问题,得到了三个正解存在性的一组充分条件.     

The tail probability of the product of dependent random variables from max-domains of attraction

In this article, we investigate the tail probability of the product of finitely many non-negative dependent random variables. They follow distributions from max-domains of attraction of extreme value distributions and their dependence is modeled via a multivariate Farlie–Gumbel–Morgenstern distribution. For each of the Fréchet, Gumbel and Weibull cases, we obtain an explicit asymptotic formula for the tail probability of the product. Our study extends a few known results in the literature.     

分数阶一般退化微分系统的通解

本文研究了系数矩阵不是方阵情形的分数阶一般退化微分系统的解.通过定义可解阵对,获得分数阶一般退化微分系统的通解表达式.该结果推广了整数阶退化微分系统和分数阶常微分系统解的相应结论.     

非线性分数阶微分方程三点边值问题解的存在性

讨论了一类非线性分数阶微分方程三点边值问题解的存在性.微分算子是Riemann-Liouville导算子并且非线性项依赖于低阶分数阶导数.通过将所考虑的问题转化为等价的Fredholm型积分方程,利用Schauder不动点定理获得该三点边值问题至少存在一个解.     

一种基于组合不确定型OWA算子的区间数群决策方法

在群决策中,由于决策环境的不确定性,决策者给出区间效信息.基于区间数可能度矩阵公式和互补判断矩阵的排序公式,提出了一种组合不确定型OWA算子,它是不确定型OWA算子的推广.该算子能集结群决策中区间数信息,文中给出了其在应用的具体步骤,最后实例分析说明了该方法的有效性和可行性.     

Fluorescent branched oligomers with polyphenyl and fluorenyl units

Absorption spectra and fluorescence parameters (spectra, quantum yields, and lifetimes) were obtained for a number of branched oligophenylenes (OPh) with long-wavelength chromophores such as p-quaterphenyl (OPh4-2), p-pentaphenyl (OPh5), and p-hexaphenyl (OPh6) and for oligofluorenylphenylenes (OFl) in solutions and films. It is demonstrated that the absorption spectrum of OPh4-2 is a superposition of p-quaterphenyl, p-terphenyl, and diphenyl absorption bands taken in a ∼3:2:2 ratio. The obtained OPh5 and OPh6 absorption and fluorescence spectra are shown to be determined mainly by the longest-wavelength chromophores, p-pentaphenyl and p-hexaphenyl, respectively. It is demonstrated that the obtained compounds contain traces of impurities with fluorescence at longer wavelengths than that of the base material. The branched oligomers exhibit high fluorescence quantum yields in solutions, those for OPh5 and OPh6 reaching 1. Transparent fluorescent films were produced from all of the synthesized oligomers.     

烧结温度、La掺杂对Bi_(1-x)La_xMnO_3结构及磁性能的影响

用溶胶-凝胶(so-lgel)法制备了多铁Bi1-xLaxMnO3(BLMO,0.1≤x≤0.4)系列样品.样品的结构表征(X-射线衍射,扫描电子显微镜)及差热-热重(TG-DTA)分析测量显示,形成稳定的BLMO钙钛矿相的烧结温度位于900~950℃.La掺杂对BLMO样品(950℃烧结)的结构和磁性能的影响也被仔细研究.结果显示,随着La掺杂减少,样品中BLMO钙钛矿相减弱,铁磁转变温度(TC)由53K降至41K,而饱和磁化强度经历了先降低再升高的变化.这可归因于La含量较少的样品中Bi空位浓度的增加诱导了Mn-O-Mn键角的减小和局域Mn4+离子的增多,使得Mn3+和Mn4+离子的铁磁超交换增强和Mn3+离子的dz2轨道有序受到局域破坏.     

基于强度传输方程的相位检索

为了从直接测量的强度图像中计算出相位信息,研究了基于强度传输方程的相位检索技术.设计了一个实用的相位检索系统,包含经典傅里叶相位检索和基于整体变分的相位检索算法.通过测量聚焦平面和前后散焦平面光波场的空间强度,求解二阶微分方程得到相位.与迭代相位检索技术相比克服了其迭代不确定性、收敛速度慢等缺点.实验表明,利用强度传输...     

Effect of preheating temperatures on microstructure and optical properties of Na-doped ZnO thin films by sol–gel process

The chemical composition, crystalline structure, surface morphology and photoluminescence spectra of Na-doped ZnO thin films with different heat treatment process were investigated by X-ray photoelectron spectroscopy, X-ray diffraction, atomic force microscopy and a fluorescence spectrometer. The results show that preferred orientation, residual stress, average crystal size and surface morphology of the thin films are strongly determined by the preheating temperature. The effects of preheating temperature on microstructure and surface morphology have been discussed in detail. The photoluminescence spectra show that there are strong violet & UV emission, blue emission and green emission bands. The violet & UV emission is ascribed to the electron transition from the localized level below the conduction band to the valence band. The blue emission is attributed to the electron transition from the shallow donor level of oxygen vacancies to the valence band, and the electron transition from the shallow donor level of interstitial zinc to the valence band. The green emission is assigned to the electron transition from the level of ionized oxygen vacancies to the valence band.     

Efficient scheme for the preparation of symmetric Dicke states via cross-Kerr nonlinearity

A scheme is proposed for generating maximally entangled Dicke states among four modes. The scheme only uses Kerr medium and homodyne measurements on coherent light fields, which can be efficiently made in quantum optical laboratories. The scheme can be generalized to produce maximally entangled 2k-qubit states.