Asymptotic Behavior of Solutions to the Difference Equation Using the Second Differences of a Liapunov Function

We introduce the concept of the second Liapunov differences in difference equations and show that, in the autonomous case, the second variations can guarantee the existence of solutions tending to zero while others starting arbitrarily near 0 go to ∞. These are based on Yorke's results for ordinary differential equations.     

The nonexistence of sensitive commutative group actions on dendrites

In this paper, using the integral method observed by Mai Jiehua recently, we show that no dendrite admits a sensitive commutative group action.     

Invertibility in L-Topological Spaces

In this paper, we extend the concept of invertibility to $L$-topological spaces and delineate its properties. Then, we study further completely invertible $L$-topological spaces and introduce two types of invertible $L$-topologies based on the inverting maps, studying their sums, subspaces and simple extensions.     

Existence and uniqueness of periodic solution for a class of differential systems

In this paper, sufficient conditions are obtained for the existence of a unique periodic solution for a class of differential systems.     

边值问题的某些存在定理(英)

本文给出关于边值问题解的某存在唯一性定理及其应用．     

Limit properties of induced mappings

Given a class of mappings f between continua, near- stands for the class of uniform limits of sequences of mappings from . Let 2^f and C(f) mean the induced mappings between hyperspaces. Relations are studied between the conditions: f near- , 2^f near- and C(f) near- . A special attention is paid to the classes of open and of monotone mappings.     

一个六阶3-连通图与路Pn的笛卡尔积的交叉数

C(6,2)表示由圈C6增加边vivi 2(i=1,…,6,i 2(m od6))所得的图,把边vivi 2叫做C(6,2)的弦,B表示C(6,2)除去一条弦所得到的图,我们确定了B与Pn笛卡尔积的交叉数为5n-1.     

Topologies on homeomorphism spaces of certain metric spaces

A new proof for the equivalence of several topologies on homeomorphism groups over certain metric spaces X is given, which is based on the metric of X.