This book is devoted to positive linear dynamical systems appearing frequently in
mathematical models of various real-life problems. Here we present an operator theoretic …

In order to become worldly things, that is, deeds and facts and events and patterns of
thoughts or ideas,[action, speech, and thought] must first be seen, heard, and remembered …

The asymptotic behaviour, in particular" stability" in some sense, is studied systematically for
discrete and for continuous linear dynamical systems on Banach spaces. Of particular …

We develop a theory of eventually positive C 0-semigroups on Banach lattices, that is, of
semigroups for which, for every positive initial value, the solution of the corresponding …

We consider networked transport systems defined on directed graphs: the dynamics on the
edges correspond to solutions of transport equations with space dimension one. In addition …

This paper deals with the controllability of linear one-dimensional hyperbolic systems.
Reformulating the problem in terms of linear difference equations and making use of infinite …

We consider a diffusion problem on a network on whose nodes we impose Dirichlet and
generalized, non-local Kirchhoff-type conditions. We prove well-posedness of the …

We study diffusion and wave equations in networks. Combining semigroup and variational
methods we obtain well-posedness and many nice properties of the solutions in general L p …

In this PhD thesis, strongly continuous operator semigroups are studied. We show that
contractivity or positivity of such a semigroup can have a profound impact on its long time …

We explain how operator semigroups can be used to study transport processes in networks.
This method is applied to a linear Boltzmann equation on a finite as well as on an infinite …