Orlicz序列空间的弱收敛序列系数

本文给出了Orlicz序列空间的弱收敛序列系数的表达式.     

前馈序列与反馈序列的关系

本文引入移位寄存器序列的向量值表示讨论了线性移位寄存器的前馈序列与反馈序列同时为ｍ序列时的关系,得到了它们在向量值表示下的一个关系式。     

Batrachion序列的数值求解

Batrachion序列是一类奇特的序列，有着非常的分形图形行为和轨迹，已引起计算机图形领域许多学者的兴趣和重视．本文给出Batrachion序列的完整求解，并且予以严格的证明．在证明过程中，同时显示了它与杨晖三角形密切的关系．     

间隔序列与拟对称映射

本文研究了欧式空间上拟对称映射的不变量问题,利用定义集合间隔序列的方法,获得了一个新的d-维拟对称映射的不变量,深化了Lipschitz不变量研究中类似的结果.     

拓扑序列复杂性和混合

本文给出动力系统的拓扑序列复杂函数和族.F-扩散的概念,利用序列复杂函数给出一致刚性、等度连续性和F-混合的特征,并讨论了族F-混合与一致刚性、相关族扩散、混沌及序列等度连续点存在性的关系.     

拓扑序列复杂性和混合

本文给出动力系统的拓扑序列复杂函数和族F-扩散的概念,利用序列复杂函数给出一致刚性、等度连续性和F-混合的特征,并讨论了族F-混合与一致刚性、相关族扩散、混沌及序列等度连续点存在性的关系.     

平移多项式的判别序列

研究平移多项式的判别序列的性质,并给出平移多项式的正根判别序列的显式表达式.     

FIBONACCI SEQUENCE AND CANTOR＇S TERNARY SET

Let N be the set of positive integers and C be Cantor‘s ternary set.A function ζ：N→[0，1] is established by the help of the Fibonacci sequence such that —↑ζ（N），the closure of the set ζ（N）,is homeomorphic to the set C.     

MONOTONE POINTS IN ORLICZ-BOCHNER SEQUENCE SPACES

In Orlicz-Bochner sequence spaces endowed with Orlicz norm and Luxemburg norm, points of lower monotonicity, upper monotonicity, lower local uniform monotonicity and upper local uniform monotonicity are characterized.     

映射系统中的零序列

设（Ｅ，ｒ）是局部凸拓扑向量空间，Ω是任意抽象集合，Ｆ∈Ｅ＾Ω，（ｘｊ）∈Ω是映射系统（Ω，Ｆ）中的零序列，即对每个ｆ∈Ｆ，（ｆ（ｘｊ））都是（Ｅ，τ）中收敛于０的序列，本文给出了序列（ｆ（ｘｊ））的Ｆ的子集Ｂ上一致收敛于０的刻划。     

BLOCKBASISOFSEQUENCEORLICZSPACES

本文证明如果奥尔里奇函数Ｍ满Δ２条件并且ｌｉｍｉｎｆｂ→０ｌｉｍｓｕｐａ→０Ｍ（ａｂ）／Ｍ（ａ）Ｍ（ｂ）＝０或者ｌｉｍｓｕｐｂ→０ｌｉｍｉｎｆａ→０Ｍ（ａｂ）／Ｍ（ａ）Ｍ（ｂ）＝０那么奥尔里序列空间ｌＭ不同构于它的由标准基的块基（其系数趋向于零）张成的任何子空间     

一列非同构的离散交叉积

本文研究了R上的一类离散交叉积的因子结构及其在小波分析中的应用问题.利用群测度构造离散交叉积的方法,我们构造了R上的一列离散交叉积,并且利用比率集的方法证明了上述交叉积是互相不同构的超有限III_γ型因子.上述结论推广了已有的一些结果.     

GLOBAL BEHAVIOR IN A RATIONAL RECURSIVE SEQUENCE

In this paper, we study the global stability, and the periodic character of the rational recursive sequence. We show that the positive equilibrium of the sequence is a global attractor with a basin which depends on certain conditions posed on the coefficients.     

NA序列部分和的完全收敛性

本文讨论了非平稳NA随机变量序列部分和的完全收敛性,获得了一般形式的完全收敛速度与矩条件之间的等价关系,其结果与独立情形一致,从而证实了NA序列与独立序列有着极为类似的完全收敛性．     

GLOBALLY ASYMPTOTIC STABILITY OF A RECURRENCE SEQUENCE

1 IntroductionConsider the difference equationwhere a, 5, c and the initial data x--1 and xo are positive numbers. In thispaper, we obtain a few sufficient conditions for the global attraction whichwere proposed by V.L.Kocic and G.Lada,[1].2 Main ResultsThe following lemma guarantee the following difference equation to have aunique positive equilibrium point x*. \Lemma 2.1 Ifthen equation {1) has a unique positive equilisrium point x*.Proof The equilibrium point x* of equation (1) satisfy …     

ON THE STABILITY OF A RECURSIVE SEQUENCE

In this paper, we investigate the global behavior of a recursive sequence. We get sufficient conditions for the existence of the unique equilibrium point, and the unique equilibrium point is proved to be globally attractive, also the attractive basin of the equilibrium is obtained.     

重尾平稳序列的大偏差

本文给出了一类重尾的随机变量序列{Xn,n≥1}的部分和Sn=∑i=1 n Xi与随机和S(t)=∑i=1^N(t) Xi的大偏差结果其中{N(t),t≥)}是一族非负整值的随机变量，{Xn,n≥1}是非负的平稳过程，并且与{N(t),t≥0}独立。本文将独立同分布情形的结果掖到了平稳相依的情形。     

UNIFORM APPROXIMATION OF A MULTIOBJECTIVE OPTIMIZATION SEQUENCE

In this paper the Pareto efficiency of a uniformly convergent multiobjective optimization sequence is studied. We obtain some relation between the Pareto efficient solutions of a given multiobjective optimization problem and those of its uniformly convergent optimization sequence and also some relation between the weak Pareto efficient solutions of the same optimization problem and those of its uniformly convergent optimization sequence. Besides, under a compact convex assumption for constraints set and a certain convex assumption for both objective and constraint functions, we also get some sufficient and necessary conditions that the limit of solutions of a uniformly convergent multiobjective optimization sequence is the solution of a given multiobjective optimization problem.