DISTRIBUTIONALLY CHAOTIC FAMILIES OF OPERATORS ON FRECHET SPACES

被引：15

作者：

Alberto Conejero, J. ^{[1
]}

Kostic, Marko ^{[2
]}

Miana, Pedro J. ^{[3
,4
]}

Murillo-Arcila, Marina ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Valencia, Spain

[2] Univ Novi Sad, Fac Tech Sci, Novi Sad, Serbia

[3] Univ Zaragoza, Dept Matemat, Zaragoza, Spain

[4] Univ Zaragoza, IUMA, Zaragoza, Spain

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2016年 / 15卷 / 05期

关键词：

Distributional chaos; integrated semigroups; C-regularized semigroups; cosine functions; abstract time-fractional equations; hypercyclicity; well-posedness; Frechet spaces; STRONGLY CONTINUOUS SEMIGROUPS; HYPERCYCLICITY; C-0-SEMIGROUPS; DYNAMICS; BEHAVIOR;

D O I：

10.3934/cpaa.2016022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of distributional chaos and distributional irregular vectors has been recently considered in the study of linear dynamics of operators and C-0-semigroups. In this paper we extend some previous results on both notions to sequences of operators, C-0-semigroups, C-regularized semigroups, and alpha-timesintegrated semigroups on Frechet spaces. We also add a study of rescaled distributionally chaotic C-0-semigroups. Some examples are provided to illustrate all these results.

引用

页码：1915 / 1939

页数：25

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