Subject: C-distribution semigroups, integrated C-semigroups, disjoint hyper- cyclicity, disjoint chaoticity, strongly continuous semigroups induced by semiflows, Frechet spaces.
Year: 2018
Type: Article
Title: D-Hypercyclic and d-chaotic properties of abstract differential equations of first order
Author: C-C. Chen, M. Kostic, S. Pilipovic, D. Velinov
Abstract: The main aim of this paper is to contribute to the existing the- ory of disjoint hypercyclic and disjoint topologically transitive abstract non- degenerate differential equations of first order as well as to initiate the study of disjoint chaoticity for strongly continuous semigroups and C-distribution semigroups in Banach and Fr ́echet function spaces. We also investigate dis- joint topologically mixing property for C-distribution semigroups, and prove a disjoint analogue of the Desch-Schappacher-Webb criterion in this context. Some new results on disjoint transitivity and disjoint chaoticity of strongly con- tinuous families of composition operators and strongly continuous semigroups induced by semiflows are shown, as well.
Publisher: Department of Mathematics and Computer Sciences, Faculty of Science, Alexandria University, Alexandria, Egypt
Relation: Grant 174024
Identifier: oai:repository.ukim.mk:20.500.12188/2349
Identifier: 2090-729X
Identifier: http://hdl.handle.net/20.500.12188/2349
