Improvements of LaSalle's Theorem

In this paper,we improve LaSalle's invariance theorem based on Li'swork(Li Yong,Asymptotic stability and ultimate boundedness,Northeast.Math.J.,6(1)(1990),53-59)by relaxing the restrictions,which make the theorem moreeasy to apply.In addition,we also improve LaSalle's theorem for stochastic differ-ential equation established by Mao(Mao Xuerong,Stochastic versions of the LaSalletheorem,J.Differential Equations,153(1999),175-195).     

重复n人随机合作对策的核心

以Su ijs等人(1995)引入的随机合作对策的模型为基础,建立了重复n人随机合作对策的理论,定义了重复n人随机合作对策的支付序列以及支付序列的优超关系,并由此给出了重复n人随机合作对策的核心、超可加性和凸性的定义,并讨论了该核心的一些特征和性质.     

再制造系统中专业拆解中心货源预测及决策

在再制造过程中,制造商倾向于把废旧产品的拆解外包给专业拆解中心,而专业拆解中心更关心自己的赢利情况.在给出专业拆解中心运营模式基础上,分析专业拆解中心赢利的关键因素——货源,利用马尔科夫理论对货源进行预测及决策,最后利用停时理论对货源进行优化.     

A New 4× 4 AKNS Spectral Problem and Its Associated Integrable Decomposition of the AKNS Equation

A new approach to construct a new 4 × 4 matrix spectral problem from a normal 2 × 2 matrix spectral problem is presented. AKNS spectral problem is discussed as an example. The isospectral evolution equation of the new 4 × 4 matrix spectral problem is nothing but the famous AKNS equation hierarchy. With the aid of the binary nonlinoearization method, the authors get new integrable decompositions of the AKNS equation.In this process, the r-matrix is used to get the result.     

一类吸引玻色-爱因斯坦凝聚的坍塌性质

本文讨论出现在吸引玻色—爱因斯坦凝聚中的一类带调和势的阻尼非线性Schroedinger方程，对照玻色—爱因斯坦凝聚的物理性质，我们证明了其初值问题在有限时间内的坍塌性质。     

Synthesis of a New Porphyrin-fluorescein Hybrid and its Supramolecular Self-assembly with Amino-porphyrinatomanganese（Ⅲ） by Hydrogen-bonding

A new porphyrin-.fluorescein hybrid 2 (F1-PPTPP) has been synthesized and characterized by UV-Vis, IR, ^1H-NMR, ESI-MS and elemental analysis. The supramolecular self-assembly of F1-PPTPP with amino-porphyrinatomanganese(Ⅲ) [Mn^(Ⅲ) (p-APTPP)Cl] by hydrogen-bonding was studied using fluorescence spectroscopic titration and ESI-MS.     

碘化钠弹性常数和声速的量子力学从头算

采用从头算平面波赝势(PWP)方法结合电子交换关联能的广义梯度近似(GGA)理论,对不同压力下碘化钠的晶体结构进行几何优化计算,得到体系的最稳定优化构型和相应的能量,利用胡克定律计算得到了相应压力下的弹性性质,取得了碘化钠单晶在零温条件下、压力0~30 GPa范围内弹性常数与压力的关系.根据弹性波在晶体中的传播行为求解了碘化钠单晶[100][、110]、[111]三个主要方向的声速.