一类半线性分数阶微分方程解的存在性

本文考虑如下一类含两项分数阶导数的半线性分数阶微分方程解的存在性问题: (_^c)D_t^α u(t)+ (_^c)D_t^β u(t)=f(t,u(t) ),0β>0, (_^c)D_t^β u(t)为Caputo分数阶导数. 我们利用Schauder不动点定理证明了在适当条件下解的存在性,所得结果改进了已有结论。     

Aerodynamic problems of cable stayed bridges spanning over one thousand meters

The elongating of cable-stayed bridge brings a series of aerodynamic problems. First of all,geometric nonlinear effect of extreme long cable is much more significant for cable-stayed bridge spanning over one thousand meters. Lateral static wind load will generate additional displacement of long cables,which causes the decrease of supporting rigidity of the whole bridge and the change of dynamic properties. Wind load,being the controlling load in the design of cable-stayed bridge,is a critical problem and needs to be solved. Meanwhile,research on suitable system between pylon and deck indicates fixed-fixed connection system is an effective way for improvement performance of cable-stayed bridges under longitudinal wind load. In order to obtain aerodynamic parameters of cable-stayed bridge spanning over one thousand meters,identification method for flutter derivatives of full bridge aero-elastic model is developed in this paper. Furthermore,vortex induced vibration and Reynolds number effect are detailed discussed.     

肉桂酰杯[4]芳烃的合成及清除自由基活性

杯[4]芳烃经醚化、氨解得到了含酰肼基团的中间体3,在PEG-400存在下,肉桂酰氯与3反应获得了含肉桂酰基的杯[4]芳烃衍生物4;4-经基肉桂酸与氯甲酸乙酯形成的混合酐与3反应,得到了相应的化合物5。用^1H NMR,^13C NMR及IR对4,5进行了结构表征,用MS对4进行了结构确证。DPPH·法测定4,5清除有机自由基活性的结果表明,4,5的自由基清除率约为19％,比杯[4]芳烃母体及肉桂酸都有所提高。     

钌(II)联吡啶配合物及其衍生物的研究进展

评述了钌 (II)联吡啶配合物及其衍生物的化学研究现状及最新进展。主要从光敏化剂、电致化学发光、多核配合物、超分子型配合物、金属聚合物及非线性光学性质方面进行探讨     

桥梁断面气动导数识别的修正最小二乘法

分析了总体最小二乘方法在桥梁断面气动导数识别中存在的问题,提出了气动导数识别的修理最小二乘方法,为防止由噪声信号所造成的非线性参数迭代求解时出现的发散现象,提出应用进度因子的措施,通过对是试验数据模态参数识别的验证,表明该方法比总体最小二乘方法具有更好的可靠性和强健性,收敛速度更快应用该方法可以识别出颤振甚至颤振后的桥梁断面气动导数,且识别精度有所提高。     

Synthesis of N-acetamide C60 nitride and its performance of optical limiting

N-acetamide C₆₀ nitride (N-acetamide-1,2-dihydro-1,2-aza-fullerene [60]) has been synthesized by the reaction of C₆₀ and azidoacetamide and initially characterized. Its mechanism was that the objective product is formed through intermediate triazoline. The computational study shows that N-nitride structure is thermodynamically more stable by using the semi-empirical AM1 SCF-MO method. The properties of optical limiting were tested by using double frequency Nd: YAG pulse laser system and showed that the optical limiting mechanism is reverse saturation absorption. At wavelength of 532 nm, compared with optical limiting for ns pulse, this new material has good optical limiting character for ps pulse. At wavelength of 707 nm, the capacity of optical limiting of the derivative is prior to C₆₀.     

二阶微分方程亚纯解的三阶导函数的不动点

研究了以亚纯函数为系数的二阶线性微分方程解的三阶导函数的不动点问题,得到了与其解的一阶、二阶导函数类似的结果．     

薄平板气动导数的数值仿真技术

提出了一种基于计算流体动力学方法计算流线型断面气动导数的数值模型．该模型以粘性不可压Navier—Stokes方程和有限体积法为基础,通过求解作强迫振动的断面绕流场,由得到的气动力时程得到断面的气动导数．利用该模型数值模拟了薄平板的气动导数,其仿真结果与薄平板气动导数风洞试验值、Theodorsen理想平板解析解的一致性,证明了本文方法的有效性．该数值方法可应用于桥梁断面颤振导数的识别．     

新型1，3-二硫杂戊烯-2-硫酮衍生物的合成

通过4,5-二硫基-1,3-二硫杂戊烯-2-硫酮的锌配合物和几种二卤化物的反应,成功地合成了3种1,3-二硫杂戊稀-2-硫酮的衍生物。讨论了这些化合物的实验条件和方法,并对目标化合物应用IR、^1HNMR、MS等进行了论证解析。     

Inhibitory Kinetics of p-Substituted Benzaldehydes on Polyphenol Oxidase from the Fifth Instar of Pieris Rapae L.

Polyphenol oxidase (PPO) is the enzyme responsible for enzymatic browning during the growth of insects. It is also involved in defense reactions and is related with immunities in insects. PPO, a metalloenzyme oxidase, catalyzes the oxidation of ο-diphenol to ο-quinone. The present paper de- scribes the effects of benzaldehyde and its p-substituted derivatives on the activity of PPO from the fifth instar of Pieris rapae L. PPO from the fifth instar of Pieris rapae L. was purified using ammonium sulfate fractionation and chromatography on Sephadex G-100. The enzyme kinetics was characterized using L-3,4-dihydroxyphenylalanine (L-DOPA) as substrate. The results show that benzaldehyde, p- hydroxybenzaldehyde, p-chlorobenzaldehyde, and p-cyanobenzaldehyde can inhibit the PPO activity for the oxidation of L-DOPA. The inhibitor concentration leading to 50% activity lost, IC50, was esti- mated to be 5.90, 5.62, 2.83, and 2.91 mmol/L for the four tested inhibitors, respectively. Kinetic analy- ses show that the inhibitory effects of these compounds are reversible. Benzaldehyde, p- hydroxybenzaldehyde, and p-chlorobenzaldehyde are noncompetitive inhibitors while p-cyano- benzaldehyde is a mixed-type inhibitor. The inhibition constants were determined for all four inhibitors. p-chlorobenzaldehyde and p-cyanobenzaldehyde were more potent inhibitors than the other com- pounds. These results provide a basis for developing PPO inhibition-based pesticides.