年龄相关的非线性时变种群扩散系统最优分布控制的存在性

讨论了一类非线性时变种群扩散系统的最优分布控制问题,利用LionsJL的偏微控制理论和先验估计,证明了系统最优分布控制的存在性.所得结果可为非线性种群扩散系统中的最优控制问题的实际研究提供必要的理论基础.     

DFT investigation for 1:2 complexes of bis(hexafluoroacetylacetonato)copper(II) coordinated with 4-(N-tert-butyl-N-oxyamino)pyridine

With the aim to explore the nature of interaction between organic radicals and paramagnetic ion, unrestricted density functional theory (UDFT) and restricted open shell DFT (RO-DFT) calculations using 6-31G(d) and LANL2DZ basis sets have been performed on the 1:2 complexes of bis(hexafluoroacetylacetonato)copper coordinated with 4-(N-tert-butyl-N-oxyamino)pyridine, complex 1. Structural data revealed by X-ray crystal analysis are used. It is found that the calculated results depend on the selected functionals, model orientation, basis set form and symmetry constraint. The proper chemical models for investigated system are RO-B3LYP, RO-BLYP, RO-PBE, and RO-PBE0.     

Isolation and Characterization of Proteins Interacting with Activin Type Ⅱ Receptors

Introduction Activinisamemberofthetransforminggrowth factor(TGF)βsuperfamilyofextracellularsignaling proteins.Themembersofthisfamilyplayacriticalrole duringembryogenesisandinmaintainingtissuehomeo stasisinadultlife[1—3].DeregulatedTGFfamilysigna lingisi…     

甲基红染料掺杂的聚乙烯醇薄膜光存储特性的实验研究

用2倍频小型YAG激光(532nm)作为写入光和擦除光,用He-Ne激光器623.8nm线作为读出光,用CCD作为探测器,研究了不同写入光功率下,甲基红/聚乙烯醇(MR/PVA)薄膜光栅生长的动力学过程和不同擦除光功率下,光栅擦除的动力学过程.结合光栅生长曲线的波动现象,对光存储机制进行了新的探讨.实验发现,两写入光和读出光的功率配比为1:1:1时,可获得最大衍射效率,提出读出光对写入过程具有双重作用的物理模型,对此实验结果给出了合理的解释.     

g-稳定性与 R~n-稳定性的等价性

一、引言近年来,相空间理论得到了深入的发展.人们找到了一些便于应用的具体的相空间如 C_g,C_h 等,其中 C_g 是研究较多的一个空间.研究表明 C_g 具有优良的性质,但 C_g 如不附加进一步条件的话,并不是 Hale-Kato 意义下的允许空间,故[1,2]的稳定性的等价性定理并不能直接应用于 C_g.鉴于 C_g 在理论和应用上的明显的重要性,本文研究了在 C_g 和 R~n 中泛函微分方程解的稳定性的等价性问题.研究表明 C_g 在这方面也具有良好的特性.作为应用,本文还研究了 Volterra 积分微分方程周期解的存在唯一性及稳定性问题,得到了新的有趣的结果.     

Existence and multiplicity of positive periodic solutions to functional differential equations with impulse effects

This paper deals with a new existence theory for single and multiple positive periodic solutions to a kind of nonautonomous functional differential equations with impulse actions at fixed moments by employing a fixed point theorem in cones. Easily verifiable sufficient criteria are established. The paper extends some previous results and reports some new results about impulsive functional differential equations.     

LIE ALGEBRA K$(n,\mu _j,m)$ OF CARTAN TYPE OF CHARACTERISTIC p=2

Let $K(n,\mu _j,m),n=2r+1$,denote the Lie algebra of characteristic p=2,which is defined in [4].In the paper the restrictability of $K(n,\mu _j,m)$ is discussed and it is proved that,when $r\equiv 1(mod 2)$ and $r>1,I(ad f)=n+1$ if and only if $0\neq f \in $. Then the invariance of some filtrations of K(n,\mu,m) and the condition of isomorphism of K(n,\mu _i,m) and K(n',\mu _j ^',m') are obtained.Besides,the generators and the derivation algebra of K(n,\mu _i,m) are discussed.The results also hold,when $r\equiv 0 (mod 2)$ and r>0.     

利用特征为2域上伪辛几何中1维非迷向子空间构作PBIB设计

关于结合方案和PBIB设计的定义及所用的有关符号见文献[1].设F_q为特征为2的有限域,q=2~r.熟知F_q上的对称矩阵合同于以下三种形式的矩阵(见[1]p.24).     

Growth of single-crystal magnetite nanowires from Fe3O4 nanoparticles in a surfactant-free hydrothermal process

Single-crystal magnetite nanowires with average diameter of ca. 20 nm and length of up to several micrometers were prepared by a simple alkaline surfactant-free hydrothermal process. The crystallinity, purity, morphology, and structural features of the as-prepared magnetite nanowires were investigated by powder X-ray diffraction, transmission electron microscopy (TEM) and selected area electron diffraction. The composition and length of nanowires depends on the pH, with higher pH favoring longer nanowires composed entirely of Fe₃O₄. A mechanism for nanowire growth is proposed.