带强迫项的高阶中立型微分方程的振动性

研究了一类强迫高阶非线性中立型时滞微分方程一切解振动的充分条件,建立了两个振动定理,推广和改进了已有结果.     

OSCILLATION THEOREMS FOR A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS OF EMDEN-FOWLER TYPE

Some oscillation theorems are established by the averaging technique for a class of second order neutral differential equations of Emden-Fowler type. Our results essentially improve some known results in the previous literature.     

一类连续变量脉冲中立型差分方程

研究具连续变量脉冲中立型时滞差分方程△[y(t)-p(t)y(t-τ)]+q(t)y(t-σ)=0,t≠tky(tk+)-y(tk)=bky(tk),k=1,2,…利用辅助方程,建立等价定理,得到了方程解振动的显式充分性条件.     

室温掺铒光纤放大器中实现参量控制无损耗光速减慢传输

本文对掺铒光纤放大器中的光速减慢传输系统进行深入研究,提出一种直接利用掺铒光纤放大器中抽运光 强度和掺铒光纤长度,通过优化控制参量来降低信号光强度损耗系数,从而可以实现无强度损耗光速减慢传输, 研究结果表明:当抽运光功率为3.5 mW时,信号光强度损耗系数近似为零;当抽运光关闭时,掺铒光纤长度为 0.1 m时,信号光强度损耗系数近似为零.     

A regularized trace formula and oscillation of eigenfunctions of a Sturm‐Liouville operator with retarded argument at 2 points of discontinuity

In this study, first, a formula for regularized sums of eigenvalues of a Sturm‐Liouville problem with retarded argument at 2 points of discontinuity which contains a spectral parameter in the boundary conditions is obtained. After that, oscillation properties of the related problem is investigated. Finally, under the condition that a subset of nodal points is dense in definition set, the potential function is determined.     

非线性实验的哲学意义

以Chua电路、扭摆非线性振动和光学混沌3个非线性实验的实验现象,来阐明客观世界乃是确定性和随机性、有序与无序、稳定性与非稳定性的对立统一体,遵循着唯物辩证法的发展规律。长期的教学实践表明,非线性实验不仅对于学生研究自然现象客观规律的自然观及科学观的培养,而且对于学生认识客观事物的世界观及方法论的培养,都发挥了积极的促进作用。     

含气量对空泡脉动特性影响的理论研究

分析了含气量对粘性液体中球形单空泡脉动特性的影响。研究结果表明：随着泡内初始含气量的增加,空泡达到最大泡半径的时间延长;空泡膨胀的最大泡半径、收缩的最小泡半径和脉动周期均随初始含气量的增加而增加;同时,空泡膨胀和溃灭时泡壁的运动速度均随空泡初始含气量的变化而变化。无论含气量如何,在空泡收缩到最小泡半径附近,泡壁运动速度（收缩或膨胀）要明显快于其在最大泡半径附近;此外,受液体粘性影响,空泡膨胀和收缩过程明显变缓。     

DYNAMIC CHARACTERISTICS IN INCOMPRESSIBLE HYPERELASTIC CYLINDRICAL MEMBRANES

In this paper, the dynamic characteristics are examined for a cylindrical membrane composed of a transversely isotropic incompressible hyperelastic material under an applied uniform radial constant pressure at its inner surface. A second-order nonlinear ordinary differential equation that approximately describes the radial oscillation of the inner surface of the membrane with respect to time is obtained. Some interesting conclusions are proposed for different materials, such as the neo-Hookean material, the Mooney-Rivlin material and the Rivlin-Saunders material. Firstly, the bifurcation conditions depending on the material parameters and the pressure loads are determined. Secondly, the conditions of periodic motion are presented in detail for membranes composed of different materials. Meanwhile, numerical simulations are also provided.     

HPLC–PDA identification and resolution of rufinamide forced degradation impurities: A congregated chemometric expedite optimization coupled with factorials and desirability

Rufinamide is used presently to treat Lenaux–Gastaut syndrome. A full factorial design and desirability approach was investigated for the optimization of hydrolytic stress via response surface curves (RSCs). The degradation impurities were identified and resolved using reversed-phase high-performance liquid chromatography (RP-HPLC) on the Qualisil® BDS C₈ column. Acetonitrile–water (29:71, v/v) was optimized for the mobile phase and used at a flow rate of 1.0 ml/min with detection at a wavelength of 230 nm. Rufinamide showed appreciable susceptibility to hydrolysis under acidic and alkaline stress, and substantial degradation in the neutral condition. It degraded much less under oxidative stress. Exposure towards thermal and photolytic stress conditions indicated appreciable stability. The developed method was subjected to validation as per the recommendations of the International Conference on Harmonization. The proposed method showed no influence from the excipients and the degradation products. As well as good precision and accuracy in determination, the method showed a linear response between 2 and 12 μg ml⁻¹. The method was extended for determination in a human plasma sample, which resulted in excellent recovery without interference from matrix effects. The combined use of desirability and design for the optimization of acidic and alkaline hydrolytic stress led to simple and rapid analysis.     

纳氏试剂分光光度法测定铝灰渣浸出液中的氨氮含量

随着水土资源环境日益恶化,监测氨氮量对水土的污染程度也备受关注。为了准确测定铝灰渣浸出液中的氨氮量,实验对振荡方法、振荡时间、固液比、试液过滤方式、纳氏试剂加入量以及测定干扰因素进行了研究。确定了以翻转振荡为前处理方式,最佳振荡时间为14 h,固液比为1:10,最佳纳氏试剂加入量为1.0 mL,通过改善过滤方式,降低了空白值。由实验结果可知：在试验范围内,F^-对氨氮量的测定不产生干扰;对于浸出液中Cl^-、Al³⁺和Ca²⁺浓度高的样品,可通过移取稀释液2.00 mL,加入1.0 mL酒石酸钾钠溶液(500 g/L),即可消除其干扰。运用纳氏试剂分光光度法测定铝灰渣浸出液中的氨氮量,得到氨氮标准曲线线性相关系数为0.9998,方法检出限为0.39 mg.L^-1,RSD(n=6)<5%,回收率在94.7%～105%之间。本方法简单快速,精密度高,且具有较低的检出限,适用于大批量铝灰铝渣等固体废物浸出液中氨氮量的测定。