Frequently hypercyclic abstract higher-order differential equations
Belkacem Chaouchi, Marko Kostic
TL;DR
This paper investigates the conditions under which solutions to abstract higher-order differential equations in infinite-dimensional spaces are frequently hypercyclic, utilizing $C$-regularized semigroup theory and providing illustrative examples.
Contribution
It introduces a novel analysis of frequently hypercyclic solutions for higher-order differential equations using $C$-regularized semigroups, with new examples and potential applications.
Findings
Identification of conditions for frequent hypercyclicity
Application of $C$-regularized semigroup theory
Illustrative examples demonstrating the concepts
Abstract
In this note, we analyze frequently hypercyclic solutions of abstract higher-order differential equations in separable infinite-dimensional complex Banach spaces. We essentially apply results from the theory of -regularized semigroups, providing several illustrative examples and possible applications.
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