二阶非线性阻尼微分方程解的振动性质

本文研究了一类二阶非线性阻尼微分方程解的振动性,利用分类讨论和分析的方法,建立了两个新的振动性定理,推广和改进了已有的结果.     

聚乙烯胺类修饰萘酰亚胺衍生物的合成、DNA键合行为和活性研究

合成了二乙烯三胺、三乙烯四胺和四乙烯五胺等低分子量聚乙烯胺类修饰的萘酰亚胺衍生物.通过UV-Vis谱、荧光光谱、圆二色谱和热变性试验研究了合成化合物与小牛胸腺DNA的键合行为,同时通过四甲基偶氮唑蓝(MTT)染色法研究了化合物对Bel-7402(人肝癌细胞)、HL-60(白血病细胞)、A549(人肺癌细胞)和Hela(人宫颈癌细胞)等细胞株的体外抗肿瘤活性,化合物NI1对A549细胞显示良好的抑制活性,优于阳性对照顺铂.     

外FO-群

如果群 G 的所有真商群都是 FO-群,但是群 G 本身不是 FO-群,则称 G 为外 FO-群,本文将给出外 FO-群完全的结构描述．     

高维抛物方程迎风区域分裂差分方法

结合迎风方法和区域分裂思想,采用一阶迎风、二阶修正迎风法逼近高维抛物方程的对流项.内边界处和子区域分别对应区域分裂显隐格式;并运用极值原理和嵌入定理给出了收敛性分析,最后给出数值试验,说明其实际意义.     

强迫二阶非线性泛函微分方程解的振动性与渐近性态

方程(1.1)有一个解x(f)能延拓于半无限区间(t_0,∞)上,其中t_0>0.本文将仅限于讨论这类可以延拓于(t_0,∞)上的解。 方程(1.1)的解称做振动的,如果它有任意大的零点;否则它将被称为     

Fixed stream-tube method for solving two-phase plane flow problems and its theoretical analysis

The fixed stream-tube method widely adopted in engineering field for giving an approximate solution to the two-dimensional problems of two-phase flow through porous media is summarized and an improvement has been made in this paper. Its core part, i.e., the fluid displacement within a one-dimensional stream tube with variable cross-sectional area under a given pressure difference across the tube is thoroughly studied. The existence and uniqueness of solution are proved, the exact solution, numerical solution and its convergence, stability analyses are given in this paper.     

NUMERICAL METHOD AND APPLICATION FOR THREEDIMENSIONAL NONLINEAR SYSTEM OF DYNAMICS OF FLUIDS IN POROUS MEDIA

For the system of multilayer dynamics of fluids in porous media, the second order upwind finite difference fractional steps schemes applicable to parallel arithmetic are put forward. Some techniques, such as calculus of variations, energy method, multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates are adopted. Optimal order estimates are derived to determine the error in the second order approximate solution. These methods have already been applied to the numerical simulation of migration-accumulation of oil resources.     

1.3μm场助TE光阴极In1-xGaxAsyP1-y/InP的能带计算及外延层的设计

本文首先简述了1.3μm场助TE光阴极InP(衬底)/In_1-xGa_xAs_yP_1-y(光吸收层)/InP(发射层)/Ag/CsO的工作原理,并对其能带结构进行了计算,得到了In_1-xGa_xAs_yP_1-y(光吸收层)/InP(发射层)的势垒高度、掺杂、InP发射层厚度、组份、渐变区宽度,偏压及耗尽层宽度间的定量关系。并由此出发,对光阴极各参数的设计进行了分析讨论。     

Numerical simulation analysis for migration-accumulation of oil and water

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分形介质声子导热的频域问题

本文论证了分形介质中声子导热的必要条件，给出了分形介质定容比热的频域。结果表明，同一材料的分形介质定容比热恒小于均匀介质的定容比热。