D-Hypercyclic and d-chaotic properties of abstract differential equations of first order
Journal
Electronic Journal of Mathematical Analysis and Applications
Date Issued
2018
Author(s)
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.
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.
Subjects