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Title: D-Hypercyclic and d-chaotic properties of abstract differential equations of first order
Authors: C-C. Chen, M. Kostic, S. Pilipovic, D. Velinov
Keywords: C-distribution semigroups, integrated C-semigroups, disjoint hyper- cyclicity, disjoint chaoticity, strongly continuous semigroups induced by semiflows, Frechet spaces.
Issue Date: 2018
Publisher: Department of Mathematics and Computer Sciences, Faculty of Science, Alexandria University, Alexandria, Egypt
Project: Grant 174024
Journal: Electronic Journal of Mathematical Analysis and Applications
Series/Report no.: 6;2
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.
ISSN: 2090-729X
Appears in Collections:Faculty of Civil Engineering: Journal Articles

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