矩阵方程X+A*X-nA=I的正定解

In this paper we give some sufficient conditions and some necessary conditions under which the matrix equation X A^*X^-nA=I has a positive definite solution. An iterative method which converges to a positive definite solution of this equation is constructed. And an error estimate formula on this iterative method is also derived.     

Development of a highly sensitive and specific monoclonal antibody-based enzyme-linked immunosorbent assay (ELISA) for detection of Sudan I in food samples

The use of Sudan I as an additive in food products has been prohibited in the European Union and many other countries. In this study, a highly sensitive and specific monoclonal antibody (mAb)-based indirect competitive enzyme-linked immunosorbent assay (ELISA) for the detection of Sudan I in food samples was developed. The hapten derivative with a three-carbon-atom length of carboxylic spacer at the azobound para-position was synthesized and coupled to carrier proteins. The hapten-bovine serum albumin (BSA) conjugate was used as an immunogen, while the hapten-ovalbumin (OVA) conjugate was applied as a coating antigen. The mAb against Sudan I was produced by hybridoma technique and the corresponding ELISA was characterized in terms of sensitivity, specificity, precision and accuracy. At optimal experimental conditions, the standard curve was constructed in concentrations of 0.1-100 ng mL⁻¹. The values of IC₅₀ for nine standard curves were in the range of 1.1-2.0 ng mL⁻¹ and the LOD at a signal-to-noise ratio of 3 (S/N = 3) was 0.07-0.14 ng mL⁻¹. The cross-reactivity values of the mAb with Sudan II, III and IV were 9.5%, 33.9% and 0.95%; no cross-reactivity was found with other six edible colorants: Lemon yellow, Bright blue, Indigotin, Kermes, Amarant and Sunset yellow, indicating the assay displays not only high sensitivity but also high specificity as well. The organic solvent effect on the assay was tested. It was observed that the ELISA was tolerated to 30% of methanol and 10% of acetonitrile without significant loss of IC₅₀ value. Six food samples were spiked with Sudan I and the methanolic extracts after appropriate dilution were analyzed by ELISA. Acceptable recovery rates of 88.2-110.5% and coefficients of variation of 2.5-17.4% were obtained. The ELISA for nine spiked samples was confirmed by high-performance liquid chromatography (HPLC) with a high correlation coefficient of 0.9840 (n = 9). The mAb-based ELISA proven to be a feasible quantitative/screening method for Sudan I analysis in food samples with the properties of high sensitivity, specificity, simplicity of sample pretreatment, high sample throughput and low expense.     

叶轮机械叶片颤振研究的进展与评述

颤振一类气动弹性稳定性问题是叶轮机械设计者关心的主要问题之一. 本文对叶轮机械叶片颤振模型研究的进展进行了回顾, 包括非定常气动模型、结构模型以及颤振的预测方法等内容. 通过对颤振模型研究的介绍, 讨论了不同方法处理颤振这类气动弹性稳定性问题的优缺点. 提出了关于颤振研究目前的不足和部分难点, 认为流固耦合模型的研究值得进一步重点关注.      

多孔不锈钢基二氧化锰薄膜电极的制备及电容特性

用电化学方法制备了一种多孔不锈钢基二氧化锰薄膜电极。 在不锈钢基体上以聚乙二醇辛基苯基醚（Triton X-100）在水溶液中形成的液晶作掩膜,通过电化学腐蚀制备了多孔基体电极,用恒电位方法在基体上沉积二氧化锰薄膜。 用扫描电子显微镜对二氧化锰薄膜电极形貌进行了考察,循环伏安法和充放电曲线法测试了二氧化锰薄膜电极的电容。 结果表明,腐蚀后的不锈钢基体呈现多孔特征,孔分布无规律,孔径大小从几十纳米到几百纳米不等,沉积的二氧化锰呈颗粒状,直径为80~90 nm。 扫描速率为20 mV/s,沉积电量0.4 C/cm2时,循环伏安法测得的二氧化锰薄膜电极的质量比电容达400 F/g;沉积电量4~5 C/cm2时,面积比电容达到320 ×10-3 F/cm2,此时的质量比电容仍保持在200 F/g左右。 实验结果表明,多孔不锈钢基二氧化锰薄膜电极在超级电容器领域有潜在的应用前景。     

航空发动机叶片气动弹性动力响应的数值方法研究进展

流动诱发振动造成的航空发动机叶片高周疲劳失效问题深受关注.对叶片的气动弹性动力响应研究的数值方法及进展进行了回顾,总结了航空发动机叶片振动响应实验研究和数值模拟研究的典型成果与特点,并对未来研究发展趋势进行展望.指出进一步的机理研究将集中于不稳定流动因素引发叶片强迫振动发作规律的探索以及更贴近流固耦合物理机制的气动弹性数值模拟方法的发展;在工程需求牵引下,建立适用于工程预测的动力响应分析模型,在设计过程中科学评价叶片气动弹性动力响应问题的潜在风险和发展流动控制基础上的气动阻尼减振技术值得进一步关注.      

Marchuk模型周期解和概周期解的存在性与稳定性(英文)

本文讨论具有时滞和扩散的Marchuk模型.根据模型参数求出了模型方程的上、下解,利用单调方法和Liapunov函数分别证明了周期解和概周期解的存在性及其稳定性.     

GLOBAL ATTRACTIVITY OF THE HOPFIELD NEURAL NETWORKS

1 IntroductionHopfield neural networks is an associative memory model, it is also a neuraloptimization networks. This model has been studied extensively (see [1--12]).But in most of the literature, the signal function gi(x) is differentiable and isa sigmoid curve, and the sufficient conditions about the global attractivity ofthe Hopfield neural networks have no relevance to the delay. The aim of thispaper is to give a delayed sufficient condition of the global attractivity of theHopfield neur…     

亚半正定阵左右逆特征值问题的进一步研究

１　引　言文［１］研究了亚半正定阵的左右逆特征值问题,它的更一般提法是问题Ｉ给定Ｘ、Ｚ使得其中Ｒｎ×ｍ表示全体ｎ×ｍ实阵的集合;即表示全体亚半正定阵集合［２］．文［１］得到了问题１有解的充要条件及解的通式,但从文［１］中主要定理给出的通式来看,子矩阵Ａ１３、Ａ１４及Ａ４３的表达式还没有得到,因此有必要对问题Ⅰ的通解作进一步的研究．本文将通过建立一个亚半正定阵的判定准则,圆满地解决以上问题． 为方便起见,本文用 及Ⅰ分别表示Ｒｎ×ｍ中秩为ｒ的矩阵集合、ｎ×正交矩阵集合及单位矩阵;而用　分别表示ｎ ×…     

OSCILLATION OF NONLINEAR DELAY DIFFERENCE EQUATIONS

This paper deals with the oscillatory properties of a class of nonlinear difference equations with several delays. Sufficient criteria in the form of infinite sum for the equations to be oscillatory are obtained.