Let X be a complex Banach spcce, and denote by T a strongly continuous semigroup of linear operators denned on X and C by a cosine function of operators with associated sine function S defined on X.
We show that a strongly continuous operator semigroup can be associated with the functional differential delay equation \begin{equation*}\tag{(FDE)}\begin{cases}x'(t ...
Topological dynamics is a field that investigates the qualitative behaviour of dynamical systems on topological spaces, with particular interest in properties such as recurrence, transitivity, and ...
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