Hille and Nehari type criteria for third-order delay dynamic equations

The objective of this note is to present new Hille and Nehari type asymptotic criteria for a class of third-order delay dynamic equations on a time scale. Assumptions in our theorems are less restrictive, whereas the proofs are significantly simpler compared to those reported in the literature. The results obtained extend and improve some previous results.     

BiB3O6晶体主轴折射率及其温度系数

利用自准直法，在30℃到170℃温度范围内分别测量0.4880 μm、0.6328 μm、1.0640 μm、1.3414 μm等波长下BiB₃O₆(BIBO)晶体的主轴折射率.得到不同温度下的Sellmeier方程及各主轴折射率的温度系数.计算了1.0795 μm下BIBO晶体的的主轴折射率.与实验测量的结果进行比较，两者的差异不大于2×10－4.     

Aptamer based photometric assay for the antibiotic sulfadimethoxine based on the inhibition and reactivation of the peroxidase-like activity of gold nanoparticles

It is known that gold nanoparticles (AuNPs) possess peroxidase-like activity. They can catalyze the oxidation of 3,3,5,5-tetramethylbenzidine by H₂O₂ which leads to a color change from red to blue. It is shown here that the peroxidase-like activity of AuNPs can be inhibited by passivating its surface passivation with a ssDNA aptamer against sulfadimethoxine. If, however, the target molecule (sulfadimethoxine) is present, the aptamer is desorbed from the AuNPs surface, and this results in the reactivation of the catalytic property of the AuNPs. The color change of the solution (from purple to blue) is related to the analyte concentration, and this can be judged visually or by UV-visible absorptiometry at 650 nm. The assay, under optimized conditions, has a detection limit of 10 ng·mL^?1 of sulfadimethoxine, and the calibration plot is linear over a rather wide concentration range (0.01–1000 μg·mL^?1). The assay can be performed within <15 min, is sensitive, and therefore is well suited for fast screening in food analysis. Conceivably, it can be extended to many other small analytes for which aptamers are available.

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Graphical abstract Aptamer based photometric assay for sulfadimethoxine(SDM) based on the inhibition and reactivation of the peroxidase-like activity of gold nanoparticles (AuNPs) was performed with a rather wide linear range (0.01–1000 μg?mL^?1) and low detection limit of 10 ng?mL^?1.

     

一类参数不确定系统的输出反馈自适应稳定控制设计

研究一类n阶、相对阶为n-m(n为任意自然数,m≤n为非负整数)参数不确定系统的输出反馈自适应镇定控制设计问题.所给出的控制器适用于相对阶为n-m的n阶系统.通过引入一个新型的3n+2m阶动态补偿器,构造性地给出了输出反馈自适应镇定控制器的显式表达.所设计的控制器使得闭环系统所有信号有界或渐近稳定.     

异伍兹烷衍生物的研究进展

六硝基六氮杂异伍兹烷(HNIW或CL-20)是当今世界上综合性能最好的单质炸药,在20余年的研究过程中,各国研究者合成出了百余种异伍兹烷衍生物.根据笼体上取代基的不同以及合成反应的类型,系统总结了各类衍生物的合成、用途及反应性.最后对异伍兹烷衍生物的发展方向进行了展望.     

Oscillation of second-order half-linear differential equations with several neutral terms

We study oscillatory properties of a class of second-order neutral differential equations. New results essentially simplify the examination of the equations studied. In particular, these results extend those reported in the paper by Baculíková and D?urina (Comput. Math. Appl. 61:94–99, 2011).     

Comparison Theorems for Oscillation of Second-Order Neutral Dynamic Equations

We study oscillation of certain second-order neutral dynamic equations under the assumptions that allow applications to dynamic equations with both delayed and advanced arguments. Some new comparison criteria are presented that can be used in cases where known theorems fail to apply.     

铝和铝-锂合金的爆炸烧结试验研究

 本文研究了纯铝粉和快速凝固铝-锂合金粉的爆炸烧结工艺，测量了烧结体的密度，观察了烧结体内的微观组织和断口形貌。试验用粉末材料为水雾化铝粉、氮气雾化铝粉和氩气雾化铝-锂合金粉。试验时把粉末材料装在包套内，粉状炸药装在包套外的纸筒内，炸药从一端起爆。根据文中给出的爆炸烧结工艺参数的设计原则，通过系统地试验，已获得Φ17×70 mm的铝-锂棒材和Φ100×100 mm的纯铝棒材，相对密度超过98%，无中心孔（马赫孔）。微观组织和断口形貌观察结果表明：颗粒之间已达到焊接结合，结合区是由超细微晶组成，颗粒内部仍保持原始粉末的急冷组织。试验结果还表明：包套最终运动速度、包套内径、粉末材料强度、粉末材料表面氧化膜的厚度都是影响爆炸烧结质量的重要因素。     

Banach—Saks Property and Property (β) in Cesàro Sequence Spaces

A new constant C(X) for any Banach space X is introduced. It is proved that C(X) < 2 implies the weak Banach—Saks property for the space X. In particular, C(ces_p) is found for Cesàro sequence space ces_p (1 < p < ). Moreover, it is shown that the space ces_p (1 < p < ) has property ().AMS Subject Classification (2000), 46E30, 46E40, 46B20Supported by NSF and ECF of China.     

Delay-dependent robust control for uncertain discrete-time singular systems with time-delays

The robust memoryless state feedback H_∞ control problem for uncertain time-delay discrete-time singular systems is discussed. Under a series of equivalent transformation, the equivalence of this problem and the robust state feedback H_∞ control problem for standard state-space uncertain time-delay discrete-time systems is presented. In terms of matrix inequality, the delay-dependent sufficient condition for the solution of this problem is given, the design method of the memoryless state feedback controller and the controller are also given.