Oscillation theorems for symplectic difference systems

We consider symplectic difference systems involving a spectral parameter, together with the Dirichlet boundary conditions. The main result of the paper is a discrete version of the so-called oscillation theorem which relates the number of finite eigenvalues less than a given number to the number of focal points of the principal solution of the symplectic system. In two recent papers the same problem was treated and an essential ingredient was to establish the concept of the multiplicity of a focal point. But there was still a rather restrictive condition needed, which is eliminated here by using the concept of finite eigenvalues (or zeros) from the theory of matrix pencils.     

低碳钢连铸板坯表层凝固钩的特征

对不同浇铸条件下的低碳钢连铸板坯进行了凝固钩(Hook)的特征研究,根据凝固钩的形貌概括了凝固钩的不同类型,统计了凝固钩周围气泡和夹杂物的分布,讨论了不同浇铸参数对铸坯凝固钩深度的影响,并通过Bikerman方程和弯月面凝固理论对凝固钩的不同特征进行了解释.结果表明:按形貌可将凝固钩分为完整叶状、双凝固钩、弯曲截断型和二次凝固型四种类型,其中二次凝固型的凝固钩出现的概率最高为46.8%,而完整叶状、弯曲截断型和二次凝固型的凝固钩出现概率分别为25.3%、7.6%和6.3%;研究发现,凝固钩周围的夹杂物数量明显多于其他区域的夹杂物数量,说明凝固钩能够捕获结晶器内上浮的夹杂物;对比不同浇铸参数发现,采用结晶器电磁制动装置(FC-Mold)、减小结晶器水口浸入深度、增大浇铸拉速均能够减小凝固钩的深度;Bikerman方程的计算结果和弯月面凝固理论能在机理上解释凝固钩的形貌特征.     

具正负系数和阻尼项的高阶泛函微分方程的振动性

研究了一类同时具有正负系数和非线性中立项及阻尼项的偶数阶非线性变时滞泛函微分方程的振动性,通过引入参数函数和Riccati变换,结合Holder不等式及一些分析技巧,获得了该类方程振动的一些新的判别准则,所得结论推广并改进了现有文献中的一些结果.给出了具体例子,用以说明文中的主要结论.     

Forming mechanism of ink layer on the printing plate in inking process and influencing factors of its thickness

Ink layer thickness on the printing plate greatly influences uniformity of ink transferred to the substrates , which is an important indicator of printing quality , so the study of ink layer and its thick-ness is important for improving the quality of printing products .Ansys CFX is used here to build a model of ink fluid adhering to lower vibrator roller , form inking roller , and printing plate for analy-zing ink transferring in inking process .Ink layer thickness on each position of the model is acquired to analyze the forming mechanism of ink layer on printing plate , as well as the influence of oscilla-tion speed of lower vibrator roller and dot area percentage of plate on ink layer thickness of printing plate.It can be concluded that , in the case of fixed ink supplying amount , ink layer thickness in-creases along with the increasing of oscillation speed , and decreases when the dot area percentage is getting larger and the minimum is got when the dot area percentage is 100%.At last , experiment of plate inking on print ability tester verifies the correctness of the simulation analysis .     

一类二阶非线性中立型微分方程的振动性

考虑二阶非线性中立型微分方程(r(t)[x(t)+p(t)x(t-τ)]′)′+q(t)f(x(σ(t)))=0.建立了该方程与一阶微分不等式振动性的若干比较结果,推广和改进了文献[Computers and Mathematics withApplications,2011,61:94-99]中的相关结论.     

一类具振动系数的偶数阶非线性中立型方程的振动性

研究了一类具振动系数的偶数阶非线性中立型微分方程，通过利用广义Riccati变换和引入参数函数，得到了该类方程振动的若干充分条件，所得结果推广了已有的相应结论。     

高阶变系数函数方程的非振动解

给出一类高阶非线性函数方程的一些新的非振动准则,并且给出了在差分方程中的若干应用,结果改进和推广了近期文献的某些结果.     

Oscillation criteria and asymptotic properties of solutions of third‐order nonlinear neutral differential equations

The main goal of this article is to study the asymptotic properties and oscillation of the third‐order neutral differential equations with discrete and distributed delay. We give several theorems and related examples to illustrate the applicability of these theorems. Copyright © 2014 John Wiley & Sons, Ltd.     

Change of the short-range scattering in the graphene covered with Bi2O3 clusters

In this work, we have studied the oxidation process of the bismuth doped graphene in the ambient air. Complete oxidation of the bismuth clusters and that of the graphene are firmly confirmed. The influence of oxygen on the graphene is characterized by means of Hall measurement and SdH oscillation. All transport measurements demonstrate a hole-type doping behavior. Our work also demonstrates that the short-range scattering mechanism is enhanced in doped graphene due to accumulated O-species adsorbates after being exposed in the atmosphere for 40 days and is suppressed after annealing. This investigation may open a new perspective for fabricating the graphene metal oxide devices.     

一类含时滞和扩散项的偏生态模型的振动性

研究了一类含时滞和扩散项的偏生态模型解的振动性,利用平均法,通过使用偏泛函微分方程上、下解思想和泛函微分方程振动性理论,获得了其解的正性和关于正平衡态振动的充分条件,为讨论时滞偏微分方程解的振动性提供了一种有效方法,推广了文[9,10]的结果.