## A semigroup approach to boundary feedback systems

- V Casarino, K.-J Engel, R Nagel, G Nickel
- Integr. Equ. Oper. Theory
- 2003

- 2004

We combine functional analytical and graph theoretical methods in order to study flows in networks. We show that these flows can be described by a strongly continuous operator semigroup on a Banach space. Using Perron-Frobenius spectral theory we then prove that this semigroup behaves asymptotically periodic.