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。     

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.     

Forced response of atmospheric oscillations during the last millennium simulated by a climate system model

Variations in global atmospheric oscillations during the last millennium are simulated using the climate system model FGOALS_gl. The model was driven by reconstructions of both natural forcing (solar variability and volcanic aerosol) and anthropogenic forcing (greenhouse gases and sulfate aerosol). The model results are compared against proxy reconstruction data. The reconstructed North Atlantic Oscillation (NAO) was out of phase with the Pacific Decadal Oscillation (PDO) in the last millennium. During the ...     

强迫振动下Duffing方程的摄动解分析

讨论了强迫振动下的非线性 Duffing 方程的摄动问题。 运用多重尺度法构造出渐近近似解,最后通过Gronwall 不等式对余项进行估计,证明了近似解的一致有效性。     

连铸保护渣道动态压力计算模型及影响因素

通过建立保护渣道压力计算模型,研究了保护渣道压力随结晶器振动的周期性变化规律以及保护渣道形状参数、连铸工艺参数和保护渣黏度对渣道压力的影响.结果表明:结晶器达到最大上振速度和最大下振速度时,渣道压力分别达到最大负压和最大正压;保护渣道形状参数对渣道压力有重要影响,渣道入口宽度和出口宽度增加,渣道正负压力都明显下降,而渣道长度增加,渣道正负压力最大值都增加;拉坯速度与结晶器振动速度都影响渣道压力,拉坯速度增加,渣道最大负压增加,而最大正压减小;结晶器振动速度和保护渣黏度增加,使渣道最大正负压力都增加.     

下丘脑-垂体-肾上腺轴激素分泌的周期震荡及混沌现象

结合生理学内分泌调节理论,采用了变步长龙格-库塔法,以Matlab软件为计算平台,对改进的下丘脑-垂体-肾上腺轴激素脉冲分泌的非线性动力学进行了参变量数据模拟,求出了下丘脑-垂体-肾上腺轴激素脉冲分泌的周期振荡解及混沌解.结果显示,此分泌系统中激素浓度变化与实验事实相符,其混沌模型是合理的.     

一类具有分段常自变元的时滞微分方程解的振动性

本文考虑方程 的解的振动性,得出几个(1)振动的充分条件,推广了文[1]中的两个定理。