Study on the stability of nonlinear differential equations with initial time difference

This paper establishes several criteria of stability for nonlinear differential dynamical systems relative to initial time difference by employing perturbing Lyapunov functions. The reported novel results are more easy to be tested than the existing results. As an application, these results are applied to a nonlinear dynamical system to get the stability properties relative to initial time difference.     

用阳离子交换树脂和pH梯度洗脱分离头孢菌素混合物

合成了一种聚苯乙烯结构的凝胶型1×2强酸性阳离子交换树脂,结合pH梯度或盐浓度梯度洗脱法分离头孢菌素类抗生素的混合物,并与市售的树脂比较,考察其分离性能。1×2型树脂具有较小的颗粒度(0.2～0.3mm)和较小的交换容量(在60%乙醇溶液中),用pH梯度洗脱法可以将5种头孢菌素按照等电点顺序完全分离,结构稳定的3种头孢菌素的收率均大于95%,1×2型强酸性阳离子交换树脂结合pH梯度洗脱法适用于水溶性头孢菌素类抗生素的制备分离。     

Mutlhews-Sumner定理的证明

本文证明了：若Ｇ是２连通无爪图且δ（Ｇ）≥ｎ－２３，则Ｇ是Ｈａｍｉｌｔｏｎ图     

双修饰电极零电流示波双电位滴定的研究——混合酸的连续滴定

本文采用双聚苯胺修饰电极进行示波双电位滴定,用示波器直接指示△E的变化,以示波器荧光屏上荧光点最大位移指示终点。方法简便、快速、直观,用于乙二醛母液中混合酸的连续滴定,结果满意。     

一类非时齐间断系统的大偏差

本文证明一类间断非时齐系统的大偏差结果，给出大偏差速率函数。     

两能级原子与热库以任意强度耦合时原子相干特性研究

研究两能级原子与热库(热辐射场)相互作用。对于任意强度耦合的情况，给出求解原子约化密度矩阵的方法。针对实例，分析原子约化密度矩阵非对角元，通过计算得到消除消相干时外加驱动场所必须满足的特性方程。     

Effect of annealing time on properties of spinel LiNi<Subscript>0.5</Subscript>Mn<Subscript>1.5</Subscript>O<Subscript>4</Subscript> high-voltage lithium-ion battery electrode materials prepared by co-precipitation method

In this wok, a series of LiNi_0.5Mn_1.5O₄ (LNMO) samples with an octahedral shape entirely composed of (111) crystal planes were prepared by calcining the mixture of the precursor Ni_0.25Mn_0.75(OH)₂ and LiOH·H₂O at 800 °C for 15 h in air, followed by annealing them at 600 °C for different dwelling times. Powder X-ray diffraction (XRD), scanning electron microscopy (SEM), and several electrochemical technologies were used to investigate the effect of annealing time on properties of the LNMO samples. XRD analysis indicates that the lattice parameters of the LNMO samples show a decreasing trend with increasing of annealing time, and the impurity peaks become less apparent for the sample annealed for 6 h and almost disappear for the samples annealed for 9 and 24 h. SEM results show that the annealing time has no obvious influence on the morphologies of the LNMO samples. Electrochemical measurements show that the electrochemical performances (capacity, cycle life, and rate capability) of the samples annealed for 6, 9, and 24 h are better than those of the unannealed sample, and the sample annealed for 9 h shows the best electrochemical properties among them due to its superior electrochemical kinetics of Li⁺ insertion/desertion.