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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.||URI:||http://hdl.handle.net/20.500.12188/2349||ISSN:||2090-729X|
|Appears in Collections:||Faculty of Civil Engineering: Journal Articles|
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