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EQUICONTINUITY: 作品数：11被引量：4H指数：1; 导出分析报告; 相关领域：理学更多>>; 相关期刊：《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《Acta Mathematica Sinica,English Series》《Journal of Systems Science & Complexity》更多>>; 相关基金：国家自然科学基金上海市教育委员会重点学科基金江苏省“青蓝工程”基金更多>>

Equicontinuity and Sensitivity of Group Actions: 《Chinese Annals of Mathematics,Series B》2023年第4期501-516,共16页Shaoting XIE Jiandong YIN; supported by the National Natural Science Foundation of China(Nos.12061043,11661054)。; Let(X,G)be a dynamical system(G-system for short),that is,X is a topological space and G is an infinite topological group continuously acting on X.In the paper,the authors introduce the concepts of Hausdorff sensitivi...; 关键词：Hausdorff sensitivity Hausdorff equicontinuity Topological equicontinuity Even continuity

THE SYSTEMS WITH ALMOST BANACH-MEAN EQUICONTINUITY FOR ABELIAN GROUP ACTIONS被引量：1: 《Acta Mathematica Scientia》2022年第3期919-940,共22页Bin ZHU Xiaojun HUANG Yuan LIAN; supported by NSF of China(11671057);NSF of Chongqing(cstc2020jcyj-msxmX0694);the Fundamental Research Funds for the Central Universities(2018CDQYST0023).; In this paper,we present the concept of Banach-mean equicontinuity and prove that the Banach-,Weyl-and Besicovitch-mean equicontinuities of a dynamic system of Abelian group action are equivalent.Furthermore,we obtain...; 关键词：Abelian group action Banach mean equicontinuous Banach mean density independence set

A NOTE ON MEASURE-THEORETIC EQUICONTINUITY AND RIGIDITY: 《Acta Mathematica Scientia》2022年第2期769-773,共5页Chiyi LUO Yun ZHAO; Supported by the National Natural Science Founda-tion of China(11790274 and 11871361);partially supported by Qinglan project of Jiangsu Province。; Given a topological dynamical system(X,T)and a T-invariant measureμ,let B denote the Borel σ-algebra on X.This paper proves that(X,B,μ,T)is rigid if and only if(X,T)isμ-A-equicontinuous in the mean for some subseq...; 关键词：Measure-theoretic equicontinuity RIGIDITY mean metric

THE PROXIMAL RELATION,REGIONALLY PROXIMAL RELATION AND BANACH PROXIMAL RELATION FOR AMENABLE GROUP ACTIONS: 《Acta Mathematica Scientia》2021年第3期729-752,共24页Yuan LIAN Xiaojun HUANG Zhiqiang LI; supported by NSF of China(11671057);NSF of Chongqing(cstc2020jcyj-msxm X0694);the Fundamental Research Funds for the Central Universities(2018CDQYST0023)。; In this paper,we study the proximal relation,regionally proximal relation and Banach proximal relation of a topological dynamical system for amenable group actions.A useful tool is the support of a topological dynamic...; 关键词：Proximal relation amenable group mean equicontinuity

Density-equicontinuity and Density-sensitivity: 《Acta Mathematica Sinica,English Series》2021年第2期345-361,共17页Jie LI Si Ming TU; Jie Li is supported by NSF of Jiangsu Province(Grant No.BK20170225);NNSF of China(Grant Nos.11701231and 12031019);Science Foundation of Jiangsu Normal University(Grant No.17XLR011);Si Ming Tu is supported by NNSF of China(Grant Nos.11801584 and 11871228)。; In this paper we introduce the notions of(Banach) density-equicontinuity and densitysensitivity. On the equicontinuity side, it is shown that a topological dynamical system is densityequicontinuous if and only if it i...; 关键词：Density equicontinuity density sensitivity sequence entropy

Equicontinuity of Maps on a Dendrite with Finite Branch Points被引量：1: 《Acta Mathematica Sinica,English Series》2017年第8期1125-1130,共6页Tai Xiang SUN Guang Wang SU Hong Jian XI Xin KONG; Supported by NNSF of China(Grant No.11461003);SF of Guangxi Univresity of Finance and Economics(Grant Nos.2016KY15,2016ZDKT06 and 2016TJYB06); Let （T, d） be a dendrite with finite branch points and f be a continuous map from T to T. Denote by w（x, f） and P（f） the w-limit set of x under f and the set of periodic points of f, respectively. Write Ω（x, f...; 关键词：Dendrite map EQUICONTINUITY periodic point ε-limit set

Measure of Noncompactness and Semilinear Nonlocal Functional Differential Equations in Banach Spaces: 《Acta Mathematica Sinica,English Series》2015年第1期140-150,共11页Qi Xiang DONG Gang LI; Supported by National Natural Science Foundation of China(Grant Nos.11271316 and 11201410);Natural Science Foundation of Jiangsu Province(Grant No.BK2012260); This paper is concerned with the measure of noncompactness in the spaces of continuous functions and semilinear functional differential equations with nonloeal conditions in Banach spaces. The relationship between the...; 关键词：Measure of noncompactness EQUICONTINUITY differential equation nonlocal condition C0-SEMIGROUP mild solution

EQUICONTINUITY OF TRIANGULAR MAPS: 《Annals of Differential Equations》2011年第1期48-53,共6页Taixiang Sun,Xiaoyan Zhang,Yongping Zhang(Dept. of Math.,Guangxi University,Nanning 530004); Project Supported by NNSF of China (10861002); In this paper we study the equicontinuity of a triangular map of the square,and obtain some equivalent conditions for it.; 关键词：triangular map EQUICONTINUITY property O uniformly convergence

An Operator Arzelà-Ascoli Theorem被引量：1: 《Acta Mathematica Sinica,English Series》2008年第7期1139-1154,共16页Wei WU; the Shanghai Leading Academic Discipline Project (Project No. B407);the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry;the National Natural Science Foundation of China (Grant No.10671068); The author generalizes the Arzela-Ascoli theorem to the setting of matrix order unit spaces, extending the work of Antonescu-Christensen on unital C^＊-algebras. This gives an affirmative answer to a question of Anton...; 关键词：matrix order unit space matrix metric set EQUICONTINUITY relative compactness

ALMOST PERIODICITY AND EQUICONTINUITY OF THE TOPOLOGICAL TRANSFORMATION GROUP被引量：1: 《Applied Mathematics(A Journal of Chinese Universities)》2006年第4期467-472,共6页Li Zhicong Li Juntao; Supported by the NNSF of China(10371030).; In this paper, a characterization of almost periodicity of topological transformation groups on uniform spaces is given. By searching the appropriate base for uniform structure, it is shown that the topological transf...; 关键词：uniform space topological transformation group EQUICONTINUITY almost periodicity compactly almost periodicity.

EQUICONTINUITY