关于对称左部集的性质及相关理论研究

本文给出了对称左部集的性质：Ta，Tb，Tc，讨论了对称左部集Eki同时满足这三个性质的条件和相应的算法。     

一类泛函微分方程解的指数估计

讨论一类时滞微分方程解的指数估计，所得结论推广了已有的结果。     

改进的分级图像矢量量化

提出了一种基于Ｐｅａｎｏ扫描的分级矢量量化算法，通过有效地利用数据间的相关性，改进了ＶＱ的性能．该算法先通过能比光栅扫描更好地保存二维数据间的相关性的Ｐｅａｎｏ扫描对原始图像进行预处理，再根据信号特性进行分级ＶＱ；还提出了基于Ｐｅａｎｏ扫描的平滑算法，有效地减小了方块效应的影响     

算术亚式期权的无套利定价问题

讨论了算术亚式期权的无套利定价问题，给出了算术亚式期权价格的概率表示式     

自控八方向逐点比较法差补程序设计

采用差值原理，刀架进给由四方向变为八方向，扩大了加工范围；采用微观逼近法解决了曲线加工问题；采用平移原理解决加工切线不过圆心的问题；另外，采用坐标判别法解决曲线加工中的顺时针、逆时针加工问题．     

一类三阶微分方程的Liapunov型不等式

从一类形如：y^′′′(t) q(t)y′(t) p(t)y(t)=0(q(t),q′(t),p(t)∈C([0, ∞),R)）的三阶油分方程得到一个Liapunov型不等式，研究了它的振荡解y(t)在其相邻的两个域3个零点间的性质，并统一了已有的一些结果。     

Mitochondria1 cytochromeb sequences variation of Protura and molecular systematics of Apterygota

Mitochondrial cytochromeb genes of about 450 bp fragments from 3 proturan species, 5 collembolan species and 2 dipluran species have been sequenced. The number of nucleotide substitutions and Kimura 2-parameter distances have also been calculated, and a series of molecular phylogenetic trees reconstructed by using parsimony and distance methods. The proturan, collembolan and dipluran species have evolved monophyletic groups. The results suggest that Protura and Collembola are sister groups, while Diplura is more or less demonstrating a closer phylogenetic relationship to the pterygotan insects. The phylogeny and their systematic position of protura and other groups are also discussed.     

大型非线性偏泛函微分方程的不变集和吸引性

对一类大型非线性偏泛函微分方程的渐近行为进行研究,利用非负矩阵性质和适当的分析技巧,建立了判断其不变集和吸引性的充分条件.     

Construction of orthogonal multiwavelets with short sequence via genetic algorithm

A multiwavelet can possesses the properties of orthogonality, symmetry, and compact support simul taneously, which is impossible for scalar wavelets. A method to determine the multiwavelets from a class of multi-scaling functions is presented using the genetic algorithm, which not only makes the guideline to find multiwavelets clearly and simplely, but also lays a foundation for the application of multiwavelets theory.