脉冲微分方程解的全局渐近性态

本文研究一般脉冲微分方程解的全局渐近性态。通过使用分段连续的（但可以是非单调的）Ｌｉａｐｕｎｏｖ函数，我们首先建立一个全局渐近性态的基本定理，然后把基本结果应用于一类具线性脉冲扰动的变系数线性动力系统，获得了其零解是全局吸引子的充分条件。     

On size and growth in freshwater fish

Patterns of growth and size achieved in freshwater fish are examined with relation to the issues of indeterminate and determinate growth and asymptotic growth. Various authors suggest minimum, average and maximum sizes attained by fish, variously pointing to very small gobies and very large sharks, with most fish being about 150 mm long. Growth in fish is distinctive in that typically it continues throughout life, even though it becomes slower with increasing age and the onset of sexual maturity. Growth rates and size achieved by fish are highly flexible and subject to both genetic and environmental controls, so that size reached may vary with environmental variables such as water temperatures and food availability (both food abundance and prey types and sizes). Frequency distributions of 5 disparate freshwater fish faunas (Papua-New Guinea 267 species and tropical; North America 709 species and subtropical to Arctic; Australia 176 species and tropical to temperate; New Zealand and Great Britain 27 and 39 species and both warm to cool temperate) closely resemble distributions generated by the theoretical model of Hutchinson & MacArthur, and also data on diverse faunas. Frequency distributions in these faunas are closely similar, with a majority of species being small. This similarity would seem to suggest a general explanation. However, examination of the freshwater fish fauna of North America suggests that, rather than showing a predominance of large fish in the Arctic, the fauna has more large fish towards the tropics, though the proportion of large fish there is lower owing to the proliferation of small species in the tropics and a paucity of them towards the Arctic. Analysis shows a shift in the size composition of the fauna with latitude and shows that the general pattern for the whole of North America consists of a composite series of rather different patterns. This suggests that there is probably no meaningful general explanation of the overall patterns seen in these diverse and disparate faunas and that the similarity in overall size distributions between freshwater fish faunas of North America, New Guinea, Australia and New Zealand are of little ecological or evolutionary significance. The generality of Cope's rule is questionable, especially for fish, in which dwarfing and/or evolution towards smaller size are seen to be common phenomena.     

一阶变系数中立型方程的振动性

In this paper we investigate the oscillation of a kind of first order neutral delay differential equations. Some sufficient conditions for the oscillation of all solutions and the existence of non-oscillatory solutions are obtained. Our results solve seve     

AWE方法分析近地偶极天线

针对傅里叶变换域内 Green 函数的特点,通过变量替换的方法,并借助外推算法,完成对阻抗矩阵及其阻抗矩阵的导数的计算,实现了媒质分层条件下的渐近波形估计(AWE)算法。数值试验结果表明,在考虑的整个频率范围内,适当选择几个频点,采用 AWE 方法可以快速地获得天线的宽带特性。     

论《殷芸小说》的独立意识与大国心态

《殷芸小说》的编选，全面体现了南梁士族文人高扬的人格独立，而这种独立意识的真实写照，也正表现了其时士族文人群体独特而复杂的大国心态，即：政治观念淡漠、主体创作意识增强和个体因素彰显。而统治阶级对文学的提倡、文风的转变和创作者主体意识的影响，则促使了这种独立意识与大国心态的形成。     

关于一类空间分解方法的收敛性

对一类非线性问题的空间分解算法证明了两个几何收敛性定理,改进了已有的结果。     

具有连续时滞的Holling Ⅲ功能性反应捕食系统的持久性和全局吸引性

讨论了一类具有连续时滞的Holling Ⅲ功能性反应的两种群捕食-食饵系统,利用微分方程比较定理得到保证此系统持久性的充分性条件;通过构造适当的Lyapunov函数的方法,得到了保证此系统全局稳定的充分条件.     

基于PIV的低比转数离心泵网格无关性

针对小流量工况采用计算流体动力学(CFD)对离心泵的性能进行数值模拟的精度问题,以一低比转数离心泵为例对其进行整体结构化网格划分,采用ANSYS CFX 14.5软件对模型离心泵的进口管路流道、叶轮流道以及蜗壳流道组成的流场进行定常数值计算.从改变整体网络数量与叶轮网格数量的角度分别进行网格无关性验证对0.6及1.0倍设计流量下的模拟精度进行比较研究.准确性评价指标采用外部特性扬程值及PIV得到的叶轮和蜗壳内部分区域的绝对速度,具有较强的说服性.分析表明:对总体网格数增加的方法进行的无关性分析即可满足要求;网格数量的增加对叶轮内绝对速度影响较大,而对蜗壳内绝对速度影响很小;在设计工况下蜗壳和叶轮内部绝对速度的预测精度都比0.6Q_d工况下的高些,因而在进一步小流量流动特性分析时,需要更精密的网格.通过对外特性和内流场速度的对比,最终选择网格模型为网格IGD.     

n种群时滞非自治捕食系统全局渐近稳定性

运用比较定理结合构造Lyapunov泛函的方法,讨论了一类纯时滞非自治捕食系统的一致持久性和全局渐近稳定性,补充和完善了有关结果．     

带脉冲的多时滞高阶线性泛函微分方程的振动性和渐近性(英文)

研究了一类带脉冲的高阶线性泛函微分方程,建立了无脉冲的微分方程的振动性和渐近性的比较原理,在此比较原理下得到了带脉冲的高阶线性泛函微分方程一些有用结论,通过寻找适当的脉冲函数可保证方程解的振动性和渐近性.最后通过实例验证了相关结论.