Li'enard型系统全局稳定性的充要条件

本文研究Li'enard型系统x=(h(y)-F(x)), y=-g(x)的全局稳定性问题.利用Filippov变换和一些新的方法建立了系统为全局稳定的系列充要条件.     

一类二阶非线性微分系统有界性与收敛性的充分必要条件

本文给出了如下一类二阶非线性微分系统 解的有界性的一些新的充分条件,获得了（Ｓ’）的所有解有界或收敛到零的充分必要 条件．所获的结果能够应用于Ｌｉｅｎａｒｄ类型方程 它改进与扩展了［１,２］等文献关于同样问题的一些重要结果．     

关于广义Liénard系统解振动的充要条件

本文给出了广义Liénard系统解振动的充要条件,所得结果推广和改进了文献[1-6]的主要结果．     

局部紧的Vilenkin群上的加权局部Hardy空间

该文给出了Vilenkin群上加权局部Hardy空间的定义,它的原子分解及对偶性质,并且研究了一类卷积算子在其上的有界性．     

矩生成函数与广义Feller算子

当i.i.d.v列{X     

带弦有向圈的2级合成

考察带一条弦的有向圈的2级合成图,得到了它们强连通的充要条件,这些结果被用于判定布尔矩阵组合合成的本原性。     

关于微分同胚的一个充分必要条件

确定两个流形是否C^r-微分同胚是微分流形研究中的重要课题,本文定义了反层的概念,给出了反层范畴,由此找到两个微分流形,C^r-微分同胚的特征刻画,于是给出了一种较以往更优的判定法．     

HENDL1.1/MG数据库和VisualBUS1．0程序的临界基准计算与分析

使用自主开发的一维输运／燃耗／可视化计算程序系统VisualBUS1．0和HENDL1．1／MG数据库,对^233U,^235U和^239Pu的热溶液临界球基准实验和^237Np,^241Am和^244Cm的金属快裂变临界球问题进行校核。和国际上广泛使用的各种程序和数据库的模拟计算结果以及相关实验结果进行综合对比和分析,初步验证了HENDL1．1／MG中裂变核素核数据的可靠性和应用性,同时也进一步证明了VisualBUS1.0程序的正确性。The evaluated critical safety benchmark experiments including some major elements of fission materials, such as ^233U, ^235U, ^239pu and ^237Np, ^241Am, ^244Cm, were simulated using the home-developed one-dimensionaltrasportation/burnup/optimization code system VisualBUS1.0 and HENDL1.1/MG, a multi-group working library of fusion-fission Hybrid Evaluated Nuclear Data Library, by FDS team. By the comparison with the measured resuits and the calculated values given in the International Handbook of Evaluated Criticality Safety Benchmark Experiments, HENDL1.1/MG data library and VisualBUS1.0 code are validated and qualified to be reliable.     

Generalized synchronization of discrete systems

Generalized synchronization of two discrete systems was discussed. By constructing appropriately nonlinear coupling terms, some sufficient conditions for determining the generalized synchronization between the drive and response systems were derived. In a positive invariant and bounded set, many chaotic maps satisfy the sufficient conditions. The effectiveness of the sufficient conditions is illustrated by three examples.     

A series of non-Noether conservative quantities and Mei symmetries of nonconservative systems

In this paper Mei symmetry is introduced for a nonconservative system. The necessary and sufficient condition for a Mei symmetry to be also a Lie symmetry is derived. It is proved that the Mei symmetry leads to a non-Noether conservative quantity via a Lie symmetry, and deduces a Lutzky conservative quantity via a Lie point symmetry.