不同权的Bloch型空间之间的加权复合算子再刻画

本文研究了单位圆中从空间β_L到β_α的加权复合算子uC_φ为有界算子和紧算子的条件.利用阶估计等方法,获得了有界性和紧性的简捷充要条件,推广了叶善力的相应结果.     

抽象空间中非线性算子方程变号解的存在性研究

利用Banach空间中的锥理论和不动点定理讨论了非线性算子方程变号解的存在性,给出了E_u_0空间下非线性算子方程变号解至少有一个变号解、一个正解和一个负解的条件,并讨论了仅通过一个上解条件得出非线性算子方程变号解的存在性定理.     

全空间上带Hardy-Sobolev项的拟线性椭圆方程解的存在性

讨论了全空间上一类带Hardy-Sobolev项的拟线性椭圆问题,利用集中紧原理和适当的实验函数,得到并验证了(PS)_c条件,从而证明了该问题非平凡解的存在性.     

Modified classification of non-self-adjoint second-order difference equations

This paper is concerned with the classification of non-self-adjoint second-order difference equations. The relationship between the number of summable solutions of non-self-adjoint difference equations and that of the discrete linear Hamiltonian system is discussed. A classification for non-self-adjoint second-order difference equations is established, which is independent of the choice of the rotated half plane and the fixed point.     

一类奇异非线性多重调和方程存在正整解的充分必要条件

研究一类奇异非线性多重调和方程?~mu=f(|x|,u,|▽u|)u~(-β),给出了方程存在正的径向对称整体解的充分必要条件和解的性质.     

“禁摩限电”效果综合评价模型

将交通需求级别进行划分后,通过数据包络分析法计算交通需求匹配度和交通运行效率,近乎绝对细化交通运行表现,依据具有时间轴的四维交通状况模拟建立了全新多维度的交通评价体系。此外,利用模糊层次分析法确定道路交通安全评价指标体系中各个指标的权重,同时作出基于差异驱动原理的综合评价。最后,将交通的污染指标提炼为机动车的排放指标和电动车的耗电指标来衡量交通工具对环境的影响。     

New results for the Liebau phenomenon via fixed point index

We prove new results regarding the existence of positive solutions for a nonlinear periodic boundary value problem related to the Liebau phenomenon. As a consequence we obtain new sufficient conditions for the existence of a pump in a simple model. Our methodology relies on the use of classical fixed point index. Some examples are provided to illustrate our theory. We improve and complement previous results in the literature.     

Comparative study of degree-based molecular descriptors of cyclodextrins through M-polynomial and NM-polynomial

Cyclodextrins are natural oligosaccharides used to increase the solubility of drugs. It has numerous applications in drug discovery, food storage and other fields. Loftsson et al. explained about applications of Cyclodextrins(CDs) in administrating the drugs through various ways. Jansook et al. has given insights into the structure, physicochemical properties and pharmaceutical applications of CDs. In the present work, cyclodextrin and its derivatives such as α, β, γ CDs are studied for which various degree and neighborhood degree-based topological indices are computed through M-polynomial and NM-polynomial respectively and the comparison of the indices for all three types of cyclodextrins are presented which are of great importance in QSPR/QSAR studies.     

Silicone nanomicelle dyeing method on polyester fibre: Comparative evaluation of chemical properties,fastness properties,and DFT

Disperse Red 177(9a), Disperse Red 343(9b), Disperse Blue 165(9c), Disperse Blue 165.1(9d), Disperse Blue 366(9e), and Disperse Blue 148(9f) were examined in the solvent. During silicon nanomicelle dyeing, we employed 9(a–f) azo disperse dyes on polyester. On polyester fabric, dye 9(a–f) offers equal washing, light, and rubbing fastness in both the conventional and silicone nanomicelle techniques. The dye can now be transported directly into the fibre core without the use of auxiliary dyes owing to the reduction in the particle size of azo dyes, which is made possible by nanoemulsions superior dispersion. The levelling property of the dispersed dye is enhanced by the dyeing process. When both techniques are applied, the lightfastness properties of all dyes are improved. It provides a very good to outstanding protection factor for textile materials. These 9(a–f) azo disperse dyes have moderate to outstanding photostability, net electrophilicity index, and lightfastness.     

丹荷颗粒治疗高脂血症质量标志物发现研究

为寻找丹荷颗粒治疗高脂血症的质量标志物,该研究基于丹荷颗粒体内成分分析结果,采用Cytoscape软件构建高脂血症-共有靶点-丹荷颗粒体内成分作用网络,利用DAVID及String数据库分别对共有靶点进行生物过程、通路富集及网络拓扑分析,明确丹荷颗粒降脂作用关键靶点及成分,再建立油酸诱导的HepG2细胞脂质堆积模型验证关键成分的降脂药效,最后结合相关成分在制剂中的含量、稳定性、特征性综合确定质量标志物。结果发现,丹荷颗粒体内成分作用于CES1、ADORA2A、ADORA1、APOB、LDLR、PPARA、PPARG、INSR、ESR2、ESR1共10个高脂血症疾病靶点,主要参与脂质代谢过程以及PPAR、cAMP信号通路,其中LDLR、PPARA、PPARG可能是关键靶点,而网络中与关键靶点直接作用的成分为白藜芦醇、柚皮素。白藜芦醇和柚皮素均可降低油酸诱导的HepG2细胞内脂滴数量,改善细胞脂质堆积严重程度,并显著降低细胞内甘油三酯含量,可能为关键成分;鉴于入体成分白藜芦醇和柚皮素来源于制剂中虎杖苷及柚皮苷,且制剂中虎杖苷及柚皮苷特征明显、含量丰富、稳定,故虎杖苷及柚皮苷可作为丹荷颗粒治疗高脂血症的质量标志物。该研究为丹荷颗粒质量标准的建立提供了合理的候选质控指标。