OSCILLATION OF SOLUTIONS TO SECOND ORDER NEUTRAL PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Some new oscillation criteria are established for a second order neutral partial functional differential equation.Assumptions in our theorems are less restrictive,also the proofs are simpler than those in Li and Cui [11].We remove some assumptions that are required for the related results in the previous papers,thus our results generalize and improve many known conclusions.     

Representation Formulas of Curves in a Two- and Three-Dimensional Lightlike Cone

In this paper we give the representation formulas for spacelike curves in two-dimensional lightlike cone ${{\mathbb Q}^2}$ and three-dimensional lightlike cone ${{\mathbb Q}^3}$ . Using these formulas we discuss the properties and structures of cone curves in ${{\mathbb Q}^2}$ and ${{\mathbb Q}^3}$ . Some examples are also given.     

Integrating link-based discrete credit charging scheme into discrete network design problem

In this paper, we present an optimization model for integrating link-based discrete credit charging scheme into the discrete network design problem, to improve the transport performance from the perspectives of both transport network planning and travel demand management. The proposed model is a mixed-integer nonlinear bilevel programming problem, which includes an upper level problem for the transport authority and a lower level problem for the network users. The lower level sub-model is the traffic network user equilibrium (UE) formulation for a given network design strategy determined by the upper level problem. The network user at the lower level tries to minimize his/her own generalized travel cost (including both the travel time and the value of the credit charged for using the link) by choosing his/her route. While the transport authority at the upper level tries to find the optimal number of lanes and credit charging level with their locations to minimize the total system travel time (or maximize the transportation system performance). A genetic algorithm is used to solve the proposed mixed-integer nonlinear bilevel programming problem. Numerical experiments show the efficiency of the proposed model for traffic congestion mitigation, reveal that interaction effects across the tradable credit scheme and the discrete network design problem which amplify their individual effects. Moreover, the integrated model can achieve better performance than the sequential decision problems.     

利他偏好下供应链效率和公平度动态演进研究

根据零售商利他偏好信息非对称性和动态演进特征,将零供博弈信息结构分为4个演进过程,采用逆向归纳法求解各个过程中供应链主观效率和客观效率、以"公平熵"计算供应链主观公平度和客观公平度,从主观与客观2个维度分析供应链利他偏好行为对供应链效率和公平度动态演进的影响.通过对比分析得出:信息对称下零售商利他偏好行为不改变供应链利润但会改变各个成员在供应链中的利润分配比例,起到"供应链利润分配机制"的作用;供应链主观效率总是不低于客观效率,供应链主观公平度总是不低于客观公平度;从主观评价供应链能够实现协调且供应链能够兼顾效率和公平.     

A novel memcapacitor and its application in a chaotic circuit

Nonlinear Dynamics - In this paper, a novel memcapacitor is designed by the SBT ( $$\hbox {Sr}_{0.95}\hbox {Ba}_{0.05}\hbox {TiO}_{{3}}$$ ) memristor and two capacitors. A fifth-order memcapacitor...     

暗场共焦布里渊光谱探测系统

共焦布里渊光谱技术因其具有无创、无标记、高空间分辨等优点,被广泛应用在物理化学、材料科学、矿物学等领域。但自发布里渊散射强度弱,在探测系统消光比不足的情况下,布里渊信号光谱容易与弹性背景光发生交叠甚至是被湮没,因而无法实现对布里渊频移的精确测量。尤其在生物医学等前沿领域,浑浊介质粘弹性探测需求的日益增加对布里渊光谱探测系统的抗弹性背景光性能提出了更高的要求,解决共焦布里渊光谱探测系统消光比不足这一问题刻不容缓。为了提高共焦布里渊光谱探测系统的消光比,本文构建了一种暗场共焦布里渊光谱探测系统,将暗场照明应用于共焦布里渊探测中,利用光阑实现了中心遮挡的环形照明、中心通光的圆形收集的光路配置。照明光路与收集光路非交叉的特殊配置,保证了激发光强的同时避免了系统对镜面反射光的收集,因而使得弹性背景光被削弱,布里渊信号光谱显露,提高了系统的消光比。实验表明：相较于传统明场照明配置,暗场共焦布里渊探测系统的抗弹性背景光性能提升,消光比提高了20 dB;0.001%浓度的脂肪乳溶液在暗场配置下背景光得到明显压制,布里渊信号光谱显露,实现了对浑浊介质的布里渊频移数据的精确测量;选取蒸馏水、聚甲基丙烯酸甲酯、二氧化硅玻璃三个标准样品验证暗场配置下的非严格背向散射角,理论分析与实验相吻合,保证了后续轴向声速、纵向弹性模量等参数的计算结果的准确有效。暗场共焦布里渊光谱探测系统综合暗场照明与共焦探测的优点,既拥有共焦探测的高空间分辨率,又借助暗场光路配置提升了系统的抗弹性背景光性能,实现了高消光比、高空间分辨的布里渊光谱探测,为生物医学、材料科学等前沿领域实现对物质机械性能的实时无损探测提供了新的思路。     

不同形貌二水草酸钙对阴离子表面活性剂AOT的吸附差异

人体尿液中存在大量具有生物表面活性的物质,而这些物质与尿液中不同形貌的草酸钙微晶间的吸附关系并未得到人们广泛关注。挑选了常用的阴离子表面活性剂磺基琥珀酸钠二辛酯(AOT)作为吸附物质,研究了不同形貌的二水草酸钙(COD)晶体对AOT的吸附差异,探究草酸钙结石的形成机理。采用X射线粉末衍射仪(XRD)和傅里叶变换红外光谱仪(FTIR)表征,并通过谱图差异分析了吸附AOT前后棒状、圆钝形、花状、十字形和双锥形COD晶体的组分变化;采用Zeta电位分析仪测定吸附AOT后晶体表面的Zeta电位随AOT浓度的变化;采用比色法通过紫外可见分光光度计测定不同浓度AOT存在下晶体的吸附量变化并绘制吸附曲线。随着AOT浓度的增加,COD的吸附量逐渐上升,最后达到吸附饱和状态,各吸附曲线均呈S型。不同形貌COD对AOT的最大吸附量大小顺序为：棒状COD (41.0 mg·g-1)>圆钝形COD (37.5 mg·g-1)>花状COD (35.0 mg·g-1)>十字形COD (27.2 mg·g-1)>双锥形COD (20.9 mg·g-1)。COD晶体的比表面积越大,表面提供的活性位点也越多,越有利于表面活性剂AOT在晶体表面的吸附;富含Ca2+的(100)晶面更利于阴离子的AOT的优先吸附;此外COD晶体的内能越大,越会抑制AOT在COD表面的吸附,导致吸附量降低。吸附了AOT的COD晶体稳定性显著增加,COD向COM转变的速度明显降低。基于AOT在不同形貌的COD晶体表面的吸附特点,提出了COD晶体吸附AOT的分子模型。COD晶体对AOT的吸附与晶体形貌密切相关。容易吸附AOT的COD晶体形貌更容易粘附在带负电荷受损伤的细胞表面,加大草酸钙结石形成的风险。     

基于超疏水高黏附结构的痕量农药分子现场检测SERS基底研究

多种农药,包括孔雀石绿（MG）作为禁用兽药,存在食用致癌的风险。由于MG低廉的价格和极好的药效,在渔业养殖中一直被不法商贩非法使用,使得鱼类生鲜中时有MG残留检出。针对MG分子痕量残留的检测,目前一般是抽取少量养殖水样,再利用高效液相色谱柱、液相色谱-光谱等方法来评估其是否超标。这类传统的检测方法一般需要依赖价格昂贵的大型设备,且检测过程操作繁琐复杂,单次检测耗时长、价格高,因而与农贸市场中商品流通量大、速度快、价格需亲民低廉等特点和要求不相符合。近年来,表面增强拉曼散射（SERS）检测技术以及便携式拉曼光谱仪的出现,有望实现对痕量农药分子的现场快速检测,进而很好地解决这一问题。SERS检测技术利用金属纳米结构的表面等离激元效应感应位于其结构表面附近的分子,得到分子种类和浓度信息。为了降低可检测的浓度极限,一般会在SERS基底上利用咖啡环效应或其他手段将待测分子蒸发富集,以获得足够高的信号强度。针对亲水基底,液滴与基底相接触后,会在基底表面摊开,使其分布面积扩大,导致其咖啡环周长变长,分子分布浓度随之降低。而当采用疏水基底富集时,由于常规的疏水基底表面黏附性小,液滴在其表面处于随处滚动无法抓取的状态,极大增加了操作的难度。以MG分子痕量残留的检测为例,由于农贸市场人员众多、无专业实验平台,磕碰撞击时有发生,在此环境下采用疏水SERS基底对农药分子进行检测显然是不可取的。该研究提出一种基于超疏水高黏附纳米森林结构的SERS基底用于痕量MG分子的快速现场检测。相比于超疏水SERS基底,所提出的超疏水高黏附基底利用其高黏附性可牢固抓取待测液滴,解决了以往超疏水基底在实际现场检测中存在液滴滚动无法操作的问题。此外,与亲水基底相比,超疏水高黏附基底由于接触角大,可将咖啡环面积缩小5.73倍,继而使分子的富集浓度提高5.73倍,最终使检测极限浓度降低了至少两个数量级。研究所提出的超疏水高黏附SERS基底有望在痕量农药分子快速现场检测中得到应用。     

Au Modified F-TiO2 for Efficient Photocatalytic Synthesis of Hydrogen Peroxide

In this work, Au-modified F-TiO₂ is developed as a simple and efficient photocatalyst for H₂O₂ production under ultraviolet light. The Au/F-TiO₂ photocatalyst avoids the necessity of adding fluoride into the reaction medium for enhancing H₂O₂ synthesis, as in a pure TiO₂ reaction system. The F⁻ modification inhibits the H₂O₂ decomposition through the formation of the ≡Ti–F complex. Au is an active cocatalyst for photocatalytic H₂O₂ production. We compared the activity of TiO₂ with F⁻ modification and without F⁻ modification in the presence of Au, and found that the H₂O₂ production rate over Au/F-TiO₂ reaches four times that of Au/TiO₂. In situ electron spin resonance studies have shown that H₂O₂ is produced by stepwise single-electron oxygen reduction on the Au/F-TiO₂ photocatalyst.