债务偿还匹配的二分法研究

在文献［１］的基础上,对资产收入流与债务序列匹配的二分法给出了一个理论证明。     

A model of hysteresis with two inputs

We formulate and analyze a new model of vector hysteresis for the case of two-input signals. We prove the essential mathematical properties of this model and we present the solutions to two identification problems connected with our model.     

On the rate of convergence of solutions in free boundary problems via penalization

The rate of convergence of approximate solutions via penalization for free boundary problems are concerned. A key observation is to obtain global bounds of penalized terms which give necessary estimates on integrations by the nonlinear adjoint method by L.C. Evans.     

On a problem of Eidelheit from The Scottish Book concerning absolutely continuous functions

A negative solution of Problem 188 posed by Max Eidelheit in the Scottish Book concerning superpositions of separately absolutely continuous functions is presented. We discuss here this and some related problems which have also negative solutions. Finally, we give an explanation of such negative answers from the “embeddings of Banach spaces” point of view.     

二元函数连续性条件之探析

对二元函数连续性判定条件给出了详细分析,强调有关问题的关键点,纠正了常见的模糊认识,得到一系列连续性充分条件及其推广形式．     

六氟偏磷酸锂的热分解动力

采用在线耦合TGA-FTIR技术,分别研究了非等温和等温两种条件下六氟磷酸锂(LiPF₆)的热分解动力学和其气态产物. 结果表明LiPF₆分解反应为单步反应,其产物为固态LiF和气态PF₅. 在两种条件下,LiPF₆分解动力学均遵循基于柱坐标对称的二维相界面移动模型. LiPF₆分解活化能为104 kJ/mol(非等温)和92 kJ/mol(等温).     

Trapping and cooling cesium atoms in a speckle field

We present the results of two experiments where cold cesium atoms are trapped in a speckle field. In the first experiment, a YAG laser creates the speckle pattern and induces a far-detuned dipole potential which is a nearly-conservative potential. Localization of atoms near the intensity maxima of the speckle field is observed. In a second experiment we use two counterpropagating laser beams tuned close to a resonance line of cesium and in the linlin configuration, one of them being modulated by a holographic diffuser that creates the speckle field. Three-dimensional cooling is observed. Variations of the temperature and of the spatial diffusion coefficient with the size of a speckle grain are presented. Received 16 December 1998 and Received in final form 16 April 1999     

王水溶解-电感耦合等离子体发射光谱法测定铁矿石中的微量磷

样品经王水分解后,在电感耦合等离子体发射光谱仪上测定了样品溶液中磷的含量。通过实验确定了基体元素的干扰、酸度、样品提升量、雾化气流速、功率、观测高度、分析谱线等分析条件。通过铁的干扰实验结果表明,样品中的基体元素铁不影响磷含量的测定。在用Ｐ178.222 nm分析线测定时,方法的检出限为P 0.0006％（相对于0.1ｇ样品,定容至100 mL）,相对标准偏差在3.14%～6.04％（ｎ＝11）,样品加标回收率在92%～110%。方法测定样品中磷含量的结果同光度法测定结果对比数据相符。     

Cone-valued Lyapunov functions and stability for impulsive functional differential equations

The stability criteria in terms of two measures for impulsive functional differential equations are established via cone-valued Lyapunov functions and Razumikhin technique. The stability can be deduced from the (Q₀,Q)-stability of comparison impulsive differential equations. An example is given to illustrate the advantages of the results obtained.