Abstract and Applied Analysis (Jan 2024)
Frequently Hypercyclic Semigroup Generated by Some Partial Differential Equations with Delay Operator
Abstract
In this paper, under appropriate hypotheses, we have the existence of a solution semigroup of partial differential equations with delay operator. These equations are used to describe time–age-structured cell cycle model. We also prove that the solution semigroup is a frequently hypercyclic semigroup.