带跳的时滞随机微分方程近似解的收敛性

本文研究了一类具有Possion跳的时滞随机微分方程（SDDEwJPs）．在一般情况下SDDEwJPs没有解析解．因此合适的数值逼近法，例如欧拉法，就是在研究它们性质时所采用的重要工具．本文在局部李普希兹条件下证明了欧拉近似解强收敛于SDDEwJPs的精确解（分析解）．     

Synthesis, Characterization, Crystal Structure and Stability of a Ternary Cu(Ⅱ) complex with 1,10-Phenanthroline and L-Valinate

Introduction It is important to research the mixed-ligand copper complexes containing bioligands,such as amino acids, nucleic acids and proteins,in exploring the functional mechanism of microelement copper in organism because the reaction of any micronutrient with two or more bioligands in the concentrated bioligands background gives mixed-ligand ternary complexes, which are more stable[1]and related with storage of substance and transportation of metal ions in the life process.     

Synthesis and Characterization of Two [2]Catenanes Based on Phenylene-diacetylene Crown Ethers

Two charged donor-acceptor [2]catenanes were synthesized by the cyclization of the π-acceptor 1,1 ＇-[1, 4-phenylenebis-（methylene）]bis（4,4＇-bipyridinium）bis（hexafluorophosphate）（2） and bis（bromomethyl）benzene with the templates of the π-donor phenylene-diacetylene crown ethers la and lb in the yields of 31%, 35%, respectively. The mass spectra, 1H and 13C NMR spectra confirm that the phenylene-diacetylene crown ethers, with a nonaromatic ~r-system, successfully template the cyclization of CBPQT4＋. The X-ray crystallography analysis shows that the CBPQT4＋ ring encircles around the phenylene motif of the crown ethers, leaving the 1,3-butadiyne fragment out of the cavity of CBPQT4＋ ring. The mechanically interlocked structure of [2]catenanes was stabilized by the cooperative effects of π-stacking and hydrogen bonding interactions.     

Synthesis, Characterization, Crystal Structure and Stability of a Ternary Cu（Ⅱ） complex with 1, 10-Phenanthroline and L-Valinate

It is important to research the mixed-ligand copper complexes containing bioligands, such as amino acids, nucleic acids and proteins, in exploring the functional mechanism of microelement copper in organism because the reaction of any micronutrient with two or more bioligands in the concentrated bioligands background gives mixed-ligand ternary complexes, which are more stable and related with storage of substance and transportationof metal ions in the life process.     

Preparation of a Lanthanide–Titanium Oxo Cluster–Polymer Composite by CuI-Catalyzed Click Chemistry

Incorporating metal clusters within the skeleton of the organic polymers through a click reaction cannot only effectively prepare cluster–polymer composites, but also effectively avoid the cluster aggregation. Herein, an azide-containing lanthanide–titanium oxo cluster of Eu₈Ti₁₀-N₃ ( Eu₈Ti₁₀-N₃ =[Eu₈Ti₁₀(μ₃-O)₁₄(H₂O)₄(OAc)₂(tbba)₃₀(paza)₄(THF)₂] ⋅ 4 THF ⋅ 8 H₂O ( 1 ), Htbba=4-tert-butylbenzoic acid, Hpaza=4-azidobenzoate, HOAc=acetic acid, THF=tetrahydrofuran) through an in situ solvothermal reaction of 4-azidobenzoic acid and 4-tert-butylbenzoic acid. Reaction of 1 with PEG ( PEG =methoxypoly(ethyleneglycol)alkyne, 2000 g mol⁻¹) through Cu^I-catalyzed click chemistry generates a lanthanide–polymer composite of Eu₈Ti₁₀-N₃@PEG ( 2 ). Investigation with IR, ¹H NMR and ICP-OES of 2 indicates that the structural integrity of 1 is maintained in 2 . Study of the luminescent properties of 1 and 2 reveals that the quantum yield of 1 itself basically remains unchanged in 2 . Significantly, the formation of 2 cannot only effectively prevent the cluster 1 from aggregation, but also greatly enhance its solubility and adhesion to the substrate. Owing to the solubility and adhesion of luminescent materials being the key to their practical application, present work is thus of great significance for the development of metal cluster–polymer composite luminescent materials.     

实值非负函数关于集值序增函数的集值Riemann-Stieltjes积分

本文首先建立了实值非负函数关于集值序增函数的集值Riemann-Stieltjes积分,并讨论了集值Riemann-Stieltjes积分的性质,给出了集值Riemann-Stieltjes可积的充要条件,最后引入了集值Riemann-Stieltjes随机积分．     

药用百合提取液对羟自由基清除作用的研究

在Fenton反应产生羟自由基的稳定体系中,以溴邻苯三酚红为显色剂,用分光光度法测定吸光度的变化值,研究百合提取液在此体系中清除羟自由基的作用。通过常见抗氧化剂对羟自由基清除作用的对照试验表明,百合提取液对羟自由基有较好的清除效果,此法操作简便,稳定性好,测定快速,为开发百合复方保健品提供理论依据。     

离散参数集值序下鞅的Riesz分解及收敛性

本文研究了离散参数集值序下鞅的Riesz分解及收敛性.利用集值序关系及集值鞅方法,给出了离散参数集值序下鞅的Riesz分解的存在性及唯一性定理.并获得离散参数集值序下鞅的收敛性定理.     

B-值函数Riemann-Stieltjes积分

引入数值函数关于B-值函数的R-S积分,研究了此类积分的性质及向量值R-S积分存在的几个充分条件,并给出了积分的收敛定理.     

向量值函数的Riemann-Stieltjes积分

引入向量值函数关于实值函数的Riemann-Stieltjes积分,给出了向量值Riemann-Stieltjes可积的充要条件,并讨论了积分的收敛定理.