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
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
收藏
页码:1915 / 1939
页数:25
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