二连通域上双曲度量与Bergman度量的等价性

本文证明了二连通域上双曲度量与Bergman度量的等价性。     

某类二阶多时滞泛函微分方程的振动性

利用微分不等式研究了一类具有n个时滞的二阶泛函微分方程的振动解与非振动解问题，通过构造序列得到了方程具有非振动解的必要条件和振动解的充分条件；另外，对两类比较具体的泛函微分方程，采用另一种方法得到了方程一切有界解振动的充分条件．     

Perturbation Analysis for Stability of Convolution Dominated Infinite Matrices

Stability of infinite matrices has important applications to spline approximation, wavelets, Gabor time-frequency analysis, etc. In this paper, perturbation analysis for convolution dominated infinite matrices was studied by introducing an idea of lp-stability at infinity. For infinite matrices in the Gohberg-Baskakov-Sjostrand class, a practical criterion for the lp-stability at infinity of convolution dominated infinite matrices on Zd under perturbation of compact operators was given.     

时滞泛函微分方程的稳定性定理

用Liapunov方法研究时滞泛函微分方程系统的稳定性，得到了系统的渐近稳定性定理、一致渐近稳定性定理及全局渐近稳定性定理，而不要求Liapunov泛函正定，也不要求其沿系统的解的导数负定．     

离散度量空间的秩一致ROE代数的理想

研究了离散度量空间上的秩一致ROE代数的理想结构同度量空间的粗几何性质的联系.对度量空间的每个子空间理想,构造了秩一致ROE代数的一个闭理想.证明了若度量空间具有G.YU提出的"性质A",则秩一致ROE代数的每个闭理想都可以由唯一的子空间理想具体构造出来.     

Asymptotic Excisions of Metric Spaces and Ideals of Asymptotic Coarse Roe Algebras

IntroductionTheC*-algebras associated with coarse geometry ofproper metric spacesXhave beenstudiedin recent years inthe area of index theory , see [1 , 2 , 4 , 5] . The mosti mportant one , called the Roe algebra[4],is generated bylocally compact , finite propagation operators on anX-module . In view of noncommutative topology , the Roealgebra can be considered as the noncommutative quotientof coarsening a metric space by identifying all pairs ofpoints that are finite distance apart . Anothe…