弱向量变分不等式解集的连通性

研究拓扑向量空间到连续线性映射空间映射的弱向量变分不等式和与之相关 的纯量型变分不等式解集的关系, 引入弱和强一致连续概念,利用纯量型变分不等式 解集所表征的集值映射的特性给出弱向量变分不等式解集连通的一个充分条件。     

On the Monomer–Dimer Problem of Some Graphs

The pure-dimer problem was solved in exact closed form for many lattice graphs. Although some numerical solutions of the monomer–dimer problem were obtained, no exact solutions of the monomer–dimer problem were available (except in one dimension). Let G be an arbitrary graph with N vertices. Construct a new graph R ( G ) from G by adding a new verex e * corresponding to each edge e = ( a , b ) of G and by joining each new vertex e * to the vertices a and b . If the suitable activities of vertices and edges in R ( G ) are selected, then the monomer–dimer problem can be solved exactly for the graph R ( G ), which generalizes the result obtained by Yan and Yeh. As applications, if we select suitable activities for the vertices and edges of     , we obtain the exact formulae for the MD partition function, MD free energy, and MD entropy of     for the d -dimensional lattice     with periodic boundaries.     

Exponential p-stability of delayed Cohen–Grossberg-type BAM neural networks with impulses

An impulsive Cohen–Grossberg-type bidirectional associative memory (BAM) neural networks with distributed delays is studied. Some new sufficient conditions are established for the existence and global exponential stability of a unique equilibrium without strict conditions imposed on self regulation functions. The approaches are based on Laypunov–Kravsovskii functional and homeomorphism theory. When our results are applied to the BAM neural networks, our results generalize some previously known results. It is believed that these results are significant and useful for the design and applications of Cohen–Grossberg-type bidirectional associative memory networks.     

On the extended KdV equation with self-consistent sources

The positive extended KdV equation with self-consistent sources (eKdV⁺ ESCSs) is firstly presented and its related linear auxiliary equation is derived. The generalized binary Darboux transformation (DT) is applied to construct some new solutions of the eKdV⁺ ESCSs such as N-soliton solution, N-double pole solution and nonsingular N-positon solution. The properties of these solutions are analyzed. Moreover, the interaction of two solitons is discussed in detail.     

Uniqueness and stability of solution for Cauchy problem of degenerate quasilinear parabolic equations

The uniqueness and existence of BV-solutions for Cauchy problem of the form are proved.     

On Coupled KdV Equations with Self-consistent Sources

The coupled Korteweg-de Vries （CKdV） equation with self-consistent sources （CKdVESCS） and its Lax representation are derived. We present a generalized binary Darboux transformation （GBDT） with an arbitrary time- dependent function for the CKdVESCS as well as the formula for the N-times repeated GBDT. This GBDT provides non-auto-Biicklund transformation between two CKdVESCSs with different degrees of sources and enables us to construct more generM solutions with N arbitrary t-dependent functions. We obtain positon, negaton, complexiton, and negaton- positon solutions of the CKdVESCS.     

鲟鱼和鲨鱼硫酸软骨素红外光谱特性的比较研究

文章比较研究了鲟鱼和鲨鱼硫酸软骨素的红外光谱特性。结果表明,鲟鱼硫酸软骨素在1 376, 1 344, 1 310, 1 157, 883和856 cm-1等波数上呈现出特有的振动峰,进一步的分析表明,鲨鱼硫酸软骨素中只有6-硫酸基团,而鲟鱼硫酸软骨素中则同时存在有6-硫酸基团和4-硫酸基团,这一特点表明鲟鱼硫酸软骨素在降低药物的毒性,有效杀伤癌细胞的方面可能具有较高的生物活性;两种硫酸软骨素的红外光谱总体基本相似,都含有乙酰氨基、羧基、硫酸基、糖环等官能团的振动峰,但鲟鱼硫酸软骨素的乙酰氨基的N—H变角振动峰的波数较高,1 415 cm-1处的羧基振动峰也明显强于鲨鱼硫酸软骨素,进一步化学分析显示,鲟鱼硫酸软骨素中的葡萄糖醛酸含量较高,推测鲟鱼硫酸软骨素很可能是一种较好的医用骨骼修复材料。     

Studies on the Scavenger Activities of Salicylaldehyde and Methyl Salicylate Against Hydroxyl Radical

Introduction Active oxygen species have a carcinogenesis effect, and can cause mutation, cardiovascular diseases, inflammation and aging, etc. Hydroxyl radicals generated either from a radiolysis of water contained in biological tissues or from a redox cycling implicated in a wide range chemical toxicants, have been recognized as the extremely reactive oxidative species which can attack DNA bases and sugar moiety of nucleotides and lead to radiation or chemical injury of DNA and other biological targets[1-5].Therefore, In recent years many pharmacologists and biologists are looking for effective free radical scavengers, especially naturally occurring antioxidants of oxidizing free radicals as drugs.     

金属硫蛋白的色谱/电喷雾电离质谱联用表征方法

通过反相液相色谱(RPLC)与电喷雾电离质谱(ESI-MS)的联用技术,对镉诱导金属硫蛋白标准物质MT-1和MT-2的结构进行表征分析。采用Vydac C8 反相色谱柱(250 mm×2.1 mm i.d., 5 μm, 30 nm),流动相A为pH 6.0的5 mmol/L乙酸铵水溶液,流动相B为pH 6.0的5 mmol/L乙酸铵的甲醇-水(体积比为1∶1)溶液,流动相流速为0.20 mL/min,在40 min内流动相B的体积分数从10%增加到37.5%进行梯度洗脱。分别用紫外(UV)和ESI-M